There was literally a store that closed half of their floor during the lockdown because coronavirus rules in Belgium were stricter. Not a joke, but somehow it is 😂
Well a 2015 Toyota Hilux Crew Cab Variant is listed by Wikipedia as being 5335mm (or 5.335m) long. The border is listed as being 85m long. Therefore we could fit approximately 16 Toyota Hilux's parked end to end in the border
4:30 area of a circle is calculated as pi times the radious ^2, so if the radius of the blue area is 1 unit, the radious of the green one is 3 If we define a new area unit that is the radius of blue squared times pi, then the total blue area is 3, and the total green area is 6 (9 - 3). Twice as big
Is it? It doesn't even pass the eye test. So if the large half-circle radius (R) is 12cm, it's surface area is: Rπ² / 2 = 144 * π / 2 cm² = 72 π cm² For smaller shapes, we have 3 half-circles, where the radius (r) is 3 times smaller than the large radius (R). So we have: 3 x (R / 3)² π / 2 = 3 x (12cm / 3)² π / 2 = 3 x 4² π / 2 cm² = 3 x 16 π / 2 cm² = 48 π / 2 cm² = 24 π cm² So that surface is 3 times smaller than the large half-circle
@@Formula7Driver You forgot a vital step; subtracting the surface area of the three blue half-circles from the larger green half-circle. So, if we are following what you are doing above: 72 π cm² - 24 π cm² = 48 π cm². Thus making it two times as big.
@@Formula7Driver That isn't stated in the question... If you read the question literally, then the blue area would not be included as part of the green area.
4:31 Assumptions: 1. The compositions of both the blue and green areas form half of a perfect circle 2. Each blue area is half of a perfect circle 3. All blue areas are equal in radius 4. The sum of the blue diameters is equal to the total half circle diameter composed of both the green and blue areas Solution: DFN: D - The diameter of one blue circle DFN: R - The Radius of 1 blue circle 2R = D ----------------------------------------------------------------------------------- The Area of one blue circle: A_b = (pi*R^2)/2 The Net Area of the blue sections: (By Assumption no. 3) A_b-net = (3/2)pi R^2 ----------------------------------------------------------------------------------- The Area of the green/blue section: (By Assumption no. 4) A_b/g = [pi (3D/2)^2]/2 (D/2 = R -> A_b/g = pi(3R)^2)/2 IE the area of the total composition is half of the area of a circle, whose radius is defined as half of the total diameter composition (defined as D from each blue section, which there are 3 of). Specifically: A_b/g = ([9D^2]/4)(pi/2) OR A_b/g = pi (9R^2)/2 ----------------------------------------------------------------------------------- Area of the green and blue composite area: 9pi R^2/2 Area of blue area: 3pi R^2/2 Difference between the green and blue area: A_comp = [9-3] pi R^2/2 A_comp = 6pi R^2/2 A_comp is the area of the green section (we removed the blue areas from the total composite area) 6pi R^2/2 = 2 x 3pi R^2/2 IE The area of the green section is defined as being twice the area of the total blue section. The area of the green section is 2 times greater than that of the blue section.
simpler solution area of a circle πr². area of a circle ¹/₂πr² area of 3 half circles 1 ¹/₂(πr²) Blue area (assuming radius of each circle is 1) 1 ¹/₂(π1²) ---- the three comes from having three circles. 1 ¹/₂(π1) 1 ¹/₂π ---- the are of the blue circle area of the of the larger half circle. (note, radius is 3 times longer) ¹/₂(πr²) ¹/₂(π3²) ¹/₂(π9) 4¹/₂π area of the green circle is the area of the larger circle minus the area of the blue area 4¹/₂π - 1 ¹/₂π = 3π then to get the answer of how many times you multiple the blue area to get the green are, you need to divide the green area by the blue area 3π÷1¹/₂π=2 so the answer is the green area is twice the size of the blue area
Did you know that since 1986, France and Great Britain share a common terrestrial border which is located in the Tunnel that links the 2 countries. I think that's no longer than 40 meters .. that could be even shorter than the one you mentioned in your video !
About the riddle in the end: Each of the small semicircles have an area of πd^2/8 and the the whole shape, green and blue, has an area of π9d^2/8. The small semisircles have a combined area of 3πd^2/8. By subtracting the combined area of the shape with the area of the semicircles we get an area of 6πd^2/8 witch is the green one. So the green area is 2 times larger than the blue one.
As spaniard myself, i know a bit of the history of those exclaves. They were part of the iberian kingdoms since the middle ages, even before Morocco exist. Spain conquered them in order to stop pirates raids in the iberian costs. I am not telling you what to think about if Spain should retain them or not, just telling their history, Spain didn't conquer them in the XIX century as is told in this video. Peace.
Interesting view. Some people would intend that the Idrisids were the first to rule Kingdom of Morocco in 8th century and therefore contend that Ceuta was Moroccan before The county of Castile even existed. But again if you go even before that Ceuta was part of Visigothic Hispania, whose count Julian was responsible for it’s conquest by the Umayyad caliphate. The world is a cat and mouse game, sometimes your the cat but you could also be the mouse, just watch out.
@@sphinxfive1331 Morocco has been ruled by many dynasties such as the idrisids, almoravids, marinids and alaouites and likewise spain has been ruled by successive houses from the Visigoths of the 7th century, to trastamaras, habsburgs, and bourbons. Dynasties change but it's the same country.
@@vedicfury9307 you're right , but saying spain ruled these cities before Morocco existed is pure nonsense because the Moroccan Kingdom was founded in 400 B.C
@@panos1b where are you able to do so? I'm personally not aware of any such place in Germany. If you count the single states of Germany, you could max reach 3 different States within 5 minutes. If you count other Nations and German States, you could in theory cross 4, but the only location I'm aware of where that is possible is in the middle of Lake Constance. So one would have to be able to walk on water or walk on a boat in order to do so. Perhaps I simply wasn't aware that such a place exists inside Germany tho. If it's not about different borders, but you also count crossing a border with the same nation twice as long as it's at a different location, then you could do so with the German-Belgian border. It actually used to be the case that you could pass through borders in Germany so fast, but that was in the Holy Roman Empire and the German Confederation...
In Spain we also have Llivia, a small city in middle of France. Time ago, Spain had a portion of south France called Rosellon , and It was part of Aragon ( now Catalonia ) . When Napoleón ruled Spain, they tooked that territory, except Llivia, because It was a small village and France just avoid them . I thought that was one of the smallest borders in the world, but somehow Spain just kept that anyways lmao
Tenemos las que Llivia en comun, vecino del Sur, del otro lado del Pireneo encontraras la isla Kompanzia, que administramos 6 meses por Francia y seis por España cada año 😃
According to Wikipedia, Märket Island has a shorter border. Edit: If you look at a map of the island, you can see that the border goes across water, and there is a smaller segment of land border in the south.
278 ft let's put this in even MORE American terms. 278 ft is about the length of 9 school buses. it's also around 350 water bottles long. also close to 3/4 of a football (handegg) field
The reason the Bridge between Botswana and Zambia Avoids Zimbabwe is because at the initial planning of the bridge Zimbabwe was a part of it but that time it was still ruled by Mugabe who later pulled out of the deal thus forcing both countries to increase their own costs and redesign the project. And funny enough when Mugabe was overthrown and Zimbabwe's new leader showed interest the project was to far ahead for a redesign. BTW I am from Botswana. Plus the reason we need that strip is coz if somehow Namibia Zimbabwe and south Africa closed their Borders over a dispute (some that will never happen only theoretical we would have it as our last option. fun tip ;That's were the Zambezi river passes but in pur country we call it the Chobe ,yes we had to be extra . Thank you I hope to get a few likes for my tiny paragraph.
I was always curious - can you tell me why Botswana is richer than most other African countries? Is it just mining? As far as Wikipedia says, Botswana is as rich as some European Union eastern countries per person, so I'm just wondering.
@@warsawlloyd4026 concentration of wealth, and a low population 2.1 million people in a country the size of france, . Thing is a lot of people barely make ends meet , not meaning that there are mp peopp who are well of , we have the super rich here mostly other people from other countries . 70% of the working population earn less than. 400 us dollars. And the other 30% are government workers and others. Thing is the wealth of the government masks the problems it has created, but thou a lot of polices from the government have done good for us. Ask more questions if you like ....
I did the math in my head for the circle problem. It took longer than I think I should have, and it has been a long day, so if it’s wrong, forgive me. The green area is two times the size of the blue area. To put it in the terms used in the question, it is one time larger, but the usage of “times larger” sometimes seems to vary between referring to the difference when one is subtracted from the other or to the number of times the smaller will fit into the larger, which is why I’ve described it in two different ways.
Oh. I did it in paper and got pie1.5radius of smaller circle squared greater than the blue area. But im in 8th grade and was not taught this yet but i do know geometry pretty well. I think this is rather far above my level so points for that?
It's actually 3 times (edit: it's not, @5135TheEm's comment above shows my mistake). 3 blue diameters are equal to one green diameter. Which means R=3r where R is green diameter and r is blue diameter. Green area = πR²/2 = 9πr²/2 Blue area = 3×πr²/2 [as there are 3 semicircles] Thus green area is 3 times the blue area
Easy come on; radius of the blue ones = r, radius of the green is 3r. Area of a blue one is 0.5*pie*r^2. Area of the green is 0.5* pie*(3r)^2 = 0.5*pie*9r^s. Divide green by blue to get how many times larger green is than one blue, all the 9 cancel so green is 9 times larger. But there’s 3 blues so 9/3 = 3 the green 3 times larger. But it is partly blocked out. So as the blue is 1/3 the size of the whole green- 3 -1/3*3= 2. The Area that is green is 2 times larger than the area that is blue
I did this too: If we assume the green has a radius of 1, the blue has a radius of 1/3. The blue area is 3/18π and the green area is 1/2π. x(3/18)π = (1/2)π x(3/18) = 1/2 x(6/18) = 1 6/18 = 1/x 1/(6/18) = x = 3 The green is 3 times as big as the blue. This is assuming that the green area is not (1/2π) - (3/18π) which it might be. If it is, then this is the math: x(3/18)π = (1/2π) - (3/18π) x(3/18) = 1/3 x(9/18) = 1 9/18 = 1/x 1/(9/18) = x = 2 The green is 2 times as big as the blue.
The green area is exactly twice the area of the blue area, and it takes up 2/3 of the total area, leaving the last 1/3 of the area for the blue. I don't need Brilliant apparently.
4:26 The green area is a semicircle that is geometrically similar to the three blue semicircles. The diameter of the green area is three times that of each of the blue shapes. Multiplying the dimensions by 3 means multiplying the area by the square of 3, which is 9, so the green semicircle would be nine times the size of one blue semicircle. However, the blue semicircles are subtracted from the green area, and nine blue areas minus three blue areas means that the green area has the area of six of the blue semicircles. However, the total blue area is comprised of three blue semicircles, meaning that the ratio between green area and blue area is 6 : 3. This simplifies to 2 : 1, which is our final answer.
Hey Sam, good job on this!! Even if a few few details were a bit of, you clearly put in a lot of effort to understand a complicated topic, and I appreciate you.
4:29 Say the radii of the smaller (blue) semi-circles are r each. Hence each of their areas are 0.5πr^2. Since there are 3 of them, their total area is 3x0.5πr^2, or *1.5πr^2.* Now the radius of the bigger (green+blue) semi-circle is r+r+r, or 3r, and hence the area is 0.5π(3r)^2, or *4.5πr^2.* The green area = the area of the bigger semi-circle - the total area of the blue semi-circles = 4.5πr^2 - 1.5πr^2 = *3πr^2* Green/blue = *3πr^2 / 1.5πr^2* = *2* The green area is twice the size of the blue area.
I got the same answer, but I handled things slightly differently: I arbitrarily plugged in 12 as the d of the main half circle, making the d of each blue half circle=4, and their respective r=4 and 2. The area of a circle=(pi)r^2, so a half circle's area = 1/2 (pi)r^2. So, .The whole half circle's area = .5*6*6*3.14 = 56.52 and the blue half circles' area = .5*4*4*3.14*3 = 18.84 Since the green area = whole area - blue area, the ratio of green area to blue area = (56.52-18.84)/18.84 = 37.68/18.84 =2.
@@stevendanderson8943 I just used 1 as r of small thingys and ignored the pies from the beginning cuz fuk em. (3^2)/2 = 4.5 (1^2)/2*3 = 1.5 blue bit 4.5 - 1.5 =3 green bit Did it in my head while driving cause quick mafs
One blue half circle is 3*3 = 9 times smaller than the green one. But there are three blues, so 9/3 = 3. Edit: I forgot to exclude the blue area to the green area. So you substract 1 third and you have two thirds left, which is 2 times one third. So the answer is 2. What silly mistake I made!
All of you are wrong. The answer is 1. It's not asking how many times as big. It's asking how many times bigger. That's a percentage change. If the blue has an area of 1, then the green has an area of 2. The correct math would then be (2-1)/1 = 1. Fight me.
4:20 the answer is two times greater blue radius= r/3 so blue area=1/2(pi(r/3)^2) green radius=r so green area= 1/2(pi(r)^2) so then blue=1/9 whole thing 3 blue=1/3 whole thing if blue is 1/3, green is 2/3 1/3 * 2 = 2/3 therefore the area of green is twice the area of blue for anyone wondering :) (i was bored so i gave it a shot)
@@real.eo_ radius is three times bigger -> area is 9 times bigger. so if one blue semicircle area is x, three blue is 3x, green semicirle is 9x. 9x-3x=6x 6x is two times larger than 3x. So Benjamin is right.
4:26 assume the diameter of green semicircle is 1. one blue semicircle has a radius of 1/3. pi*radius squared is the area of a circle so we do pi*1/6^2 which is pi/36 and because its a semicircle we divide it by 2 so pi/72. now the green semicircle will have the area of pi*1/2^2 so pi/4 and divide by 2 so pi/8. now we multiply pi/72 by 3 and get pi/24. divide pi/72 by pi/24 but to make it easier we inverse the pi/24 fraction and we get pi/72 * 24/pi. now we shorten this and get 3/1 * 1/1 so 3. so the ratio is 3/1 and the green semicircle is 3 times bigger
@@comandantepepperoni8104 in 931 Ceuta domanited by the Andalus till 1415 she fall under the control of Portugal, at the hands of King João I. In 1580, Spain annexed Portugal to its kingdom, after the death of King Sebastian I of Portugal. 1640: Portugal declares its independence from Spain, but the inhabitants of Ceuta prefer to remain under Spanish sovereignty
I know I am 2 years late. I still calculated it anyway. I hope my calculations are correct. 4:26 The answer is: The green area is twice as large as the blue area. G.A=2 B.A
how did yo get 2x, i got 3x. 3r^2*pi divided by 2 is the area of the three blue half circels or in other words 3P1, and the same formula is the area of the green half circle or P2, so P2=3P1. you can even remove the divide by two since the ratio of surfeces is the same regaldles if its a half circle or a full circle edit: only thing that comes to mind if you remove the blue area from the green, but we dont know if the green area is bellow the blue ones or not, so in that regard both answers are posibly corect
@@termivan The blue areas aren't green. They don't count toward green's area. There's nothing "below" anything, it's just a two dimensional plot of space. If you're going to imply that green extends "under" blue, then it's equally like that blue also extends "under" green. In which case green and blue are both semicircles, which just makes a mockery of the whole concept. So you take Green's area as if it were a semicircle, then subtract blue's area, which gives you a relationship of 2x, as you suggested it could.
4:10 I could imagine some Spanish people playing cards with some Moroccans and one goes to put a card back into the the stack and his hand almost goes over the border and then all the Moroccans aim and then a bunch of the Spaniards start firing.
4:30 Answer is 2. Assuming the diameter of the blue circles is 1, the radius of the green circle is 1.5. calculate the area of the green, subtract the area of the blue, divide that number by the area of the blue.
twice the size, by congruence. no diameters or areas to calculate, only proportions. blue is one unit and there are three of them, green+blue is a unit of length three and there is one of them. we are dealing with areas, so by squares (for correct area proportion) the answer is (1*3^2 - 3*1^2) / 3*1^2 = (9 - 3) / 3 = 2 therefore twice the area
No because its a shared tunnel. Let’s say a country builds half side of one tunnel and another builds the other half then it’s possible but both countries helped each other build it which makes the border outside of the tunnel instead of going through the channel. It’s also important to keep in mine of actual land borders than underground sea borders
end riddle say the blue half circles each have an area of 1 the green half circle is as wide as 3 blue ones since area scales squarely with circumference, the green half circle is 9 times as big as a blue one now there are three blue half circles each with an area of 1, the blue area is 3 the green half circle has an area of 9 but the green area has 3 blue half circles removed so the green area has an area of 6 6 divided by 3 is 2 the green area is twice as big as the blue area
Let us assume the diameter of the green circle is 3cm. This is arbitrary, but it does help us solve this problem. To find how much bigger the green area is compared to the blue, we have to find the area of the bigger half-circle and subtract away the three smaller blue half circles. ((3/2)^2 x 3.14) = 7.065. Now because it is a half-circle, we divide it by two. This means the larger half-circle area is 3.5325cm2. now, we need to calculate the area of the three smaller circles. Since the diameter of the larger circle is 3cm, and there are 3 smaller circles, each diameter of the smaller circle is 1cm. area of one smaller half-circle: ((1/2)^2 x 3.14)/2 = 0.3925. Each blue half-circle is 0.3925cm2. because there are 3 half circles, we multiply that area by 3. 0.3925 x 3 = 1.1775cm2. because these smaller semicircles are taking up the larger semicircle's area, we subtract the area of the smaller semi-circle from the larger one. 3.5325 - 1.1775 = 2.335 What we have now is the area of both colors. Green has an area of 2.335cm2 and blue has an area of 1.1775cm2. to find how much bigger the green is compared to the blue, we can turn these numbers into a percentage. (1.1775/2.335) x 100 is 50. We can conclude blue is 50 percent of the Green's area, therefore, green's area is 2 times bigger than blue's area. Final answer: Green is 2 times the size of Blue.
Do you want to make a video on why is it worth it for Brilliant to advertise the same service to the same audience over and over again? Its genuinely an interesting question because 3-4 times on the same channel seems enough for people to acknowledge their existence.
This is a classic problem in advertising. Why does coke run so many ads when it seems almost everyone knows it exists? The answer is pretty simple. Babies. More specifically, if something is known by everyone, then almost paradoxically the rate of people finding out about it is quite high. It's the birthrate. Every day 12,000 people are born in the US, meaning almost 12,000 people a day are seeing a coke ad for the first time. That's why they keep running ads. Same is true for brilliant, but in this case the rate of people seeing the ad for the first time is the rate of people finding this channel for the first time. Tldr as long as people keep finding this channel, or makes sense to keep running the same ads.
Objects in Motion I somewhat understand the implications for Coke. And I feel like a powerful brand image is part of it too. But in case with Brilliant if they get 100k new people finding out about them (which is the main reason for them running these ads according to you) then surely there would be someone who is ready to pay more for 500k of new potential audience.
You would think, but in the end views are not important, subscriptions are. Brilliant keeps running ads on HAI because they have data showing it works. For every channel Brilliant advertises over and over on, there are 10 channels that get 1 ad and no others (I know of a few, they always seem like they don't belong on certain channels). The first time an ad runs is always a risk, its a a trial that rarely breaks even on the ad cost. Advertisers only make money on the repeat ads, which they only run on carriers that pass the trial. Brilliant knows that the new influx of people watching HAI are the type of people who are more likely than average to purchase a subscription. Even if only 10% of the views on this video are new, if on average 5% of HAI views are into Brilliant (0.5% of total views), then they make more than if say a cosmetics company runs an ad and, not surprisingly, only 0.2% of the audience are into makeup. Thus, while another company might get significantly more exposure by running many first-time ads, its very risky and often only profitable if it helps you find your target audience. After which point it makes sense to focus on the people that are newly joining that audience.
The answer is : they repeat it to make you feel that should be your first option. They engrave it in your minds . Many times companies use catchy rhymy tunes to do the same
"Returning" Ceuta and Melilla... Morocco wasn't a thing when those cities were founded, and as such the UN doesn't see them as colonies (unlike Gibraltar)
@@NeighborSenpai Just like almost everyone on Gibraltar wants to be part of the UK, almost all of the population of Ceuta and Melilla wants to be part of Spain
Great video! I enjoyed that sarcastic humour that characterizes your productions. BTW, the L in Melilla is pronounced as the L in “London”, and the same happens with the L in Vélez.
And what about the shortest border between a recognised and unrecognised state? My first guess would be the exclave of Kokkina. A tiny bit of Turkish Cypriot controlled territory surrounded by the internationally-recognised Republic of Cyprus and separated from the rest of the self-declared Turkish Cypriot ‘state’ (TRNC).
Fun fact: Gibraltar has a neanderthal £1 coin design which is the old version which was one of the coins I have been longing to get. That is how I know Gibraltar.
4:30 answer is 2 times bigger Explanation below if you care, keep scrolling if not. Ag = Area of green Ab = Area of blue r = radius of green y = how many times bigger Giving us Ag = yAb And we need to solve for y Area of circle= πr² Ab consists of 3 semi circles which total diameter equals the diameter of green, therefore diameter of blue = ⅓ diameter of green. As radius is directly protional to diameter, radius of blue = ⅓ radius of green. Then divide by 2 (written as ×½) as it's a semi circle and times 3 as there's 3 (you could also combine this as times 1.5 as 3/2 is 1.5 and you can see 1.5 blue circles, but I don't like decimals in equations, and it makes things easier down the line). This gives us Ab=3π[r/3]²×½ Green is easier, it's simply area of the green circle, divided by 2 to make it a semi circle, minus area of blue. Thus Ag=πr²×½ - Ab We can write Ag = yAb as πr²×½-3(π[r/3]²)×½ = y3π[r/3]²×½ From here it's a case of simplifying and rearranging. Firstly, move the -Ab to from left to right of =, by adding Ab to both sides. As y is number of Ab, just add 1 to it. πr²×½=(y+1)×3π[r/3]²×½ Both π and ½ cancel out simply. r²=(y+1)×3[r/3]² Rearrange to make y+1 the subject y+1= r²/3[r/3]² Expand [r/3]² brackets y+1 = r²/(3r²/9) As we're dividing by a fraction, we can times by the inverse of a fraction, which gives us y+1 = 9r²/3r² The r² cancels out y+1 = 9/3 9÷3 = 3 thus y+1 = 3 Then subtract 1 from each side y = 2 Thus Ag=2Ab.
Answer to the maths question for anyone wondering: The formula for the area of a circle is πr^2. So for a semicircle, it is πr^2/2. The radius of the green semicircle is 3x the radius of one of the blue semicircles. Let's call the radius of one of the blue semicircles 1. So the radius of the green semicircle is 3. So the area of the full green semicircle is π x 9/2, which is 4.5π. The area of the 3 blue semicircles combined is three times π x 1/2, which is 1.5π. So the green area (green semicircle - blue semicircles) is 3π. Therefore, the green area is 2x the blue area.
Something about that Dutch town: in those Belgium bits there are also Dutch bits, so it's a bit of the Netherlands in a bit of Belgium in the Netherlands
Melilla is a very, very special place. It has beautiful beaches and its natives are Spaniards, North Moroccans and Jews which all live peacefully together. The only bad thing is that the last few years it has become a bit overcrowded as people use it to cross into European borders from Africa but that isn't as bad as it used to be at one point. Also, it's a tax paradise ;)
The underground border between France and the UK in the Channel tunnel is even shorter: 7.6m + 4.8m + 7.6m = 20m (inner diameter of the two train tunnels and the service tunnel).
While that does appear to be the shortest land border, the entire GB/France border stretches from the Atlantic, the length of the channel, into the North Sea, and this video is including underwater borders.
@@asterix811 Well, this vid takes only one point of the land border between Marocco and Spain, while there are other ones (Ceuta and Melilla) and they don't count sea borders. Anyway, it's just an interesting fact about an useless thing...
Question at the end: We can clearly see that the middle circles are 1/3 of the diameter of the bigger larger circle. By using the formula " R × R × π" we can calculate the area of any circle and take half of it for calculating half a cricle. Lets calculate the inner circle first by using any number, i choose 3 for R ( 3 x 3 x 3,14 )/ 2 = 28,26 Now multiple by 3 since we have 3 half cicles 28,26 x 3 = 84,78 Now lets take the outer circle Since the middle circles diameter is a third of the larger we can conclude that in this case the R would be 9 so: (9 x 9 x 3,14 )/2 = 254,34 Now lets subtract the area of the inner circles 254,34-84,78=169,56 169,56 is double of 84,78 so the green area is twice as big as the blue area.
You're correct but I think it's nicer to just keep the variables like pi instead of multiplying it out. That way you get (r×r×pi)/6 for the blue area and (r×r×pi)/2 for the whole thing from there it's as simple as 1/2 - 1/6 to get the area of the green part which is ((r×r×pi)×2)/6 So ignoring the (r×r×pi), because it's the same for both you get 1/6 for blue and 2/6 for green, obviously meaning green=2×blue I like this better, because it can be done entirely without the need of rounding the irrational numbers you get, when multiplying with pi Having to rounf them obviously will always lead to small amounts of inaccuracy, so avoiding it is beneficial Also I'm to stoopid to multiply with pi in my head and I didn't want to go get a calculator Have a good day :)
If we assume the green has a radius of 1, the blue has a radius of 1/3. The blue area is 3/18π and the green area is 1/2π. x(3/18)π = (1/2)π x(3/18) = 1/2 x(6/18) = 1 6/18 = 1/x 1/(6/18) = x = 3 The green is 3 times as big as the blue. This is assuming that the green area is not (1/2π) - (3/18π) which it might be. If it is, then this is the math: x(3/18)π = (1/2π) - (3/18π) x(3/18) = 1/3 x(9/18) = 1 9/18 = 1/x 1/(9/18) = x = 2 The green is 2 times as big as the blue.
Green is twice as big as blue. Radius of green = 3* radius of blue Area of blue = 3/2 *pi* rad of blue sq. Area of green =total area of big semi circle - area of blue = pi*rad of green sq/2- area of green Da da da da da...... Area of green = 2* area of blue
4:30 I'm pretty sure it's 2 so the area of half of a circle would be (pi r^2)/2 to get the area of the green part we will need to subtract the area of the blue parts(x), so (pi r^2)/2 - 3x if we assume that the radius of the green part is 1 then the radius of the blue part will be 1/3 so we calculate the area x = (pi * 1/9)/2 = 1/18pi we need three of these areas, so the total area of the blue areas is 3x = 3/18 pi from this we can get the green area (pi * 1)/2 - 3/18 pi = 1/2pi - 3/18pi = 9/18pi - 3/18pi = 6/18pi = 1/3pi we then divide the green area by the blue area 1/3pi / 3/18pi (we can get rid of the pi's) = 1/3 / 3/18 = 6/16 / 3/18 = 2 sorry for any mistakes in my english
That's literally the easiest math question ever, I need to do that all the time in school You find the radius of the WHOLE green circle then find the area (pie radius to the power of 2) then once you find the area you divide by 2 Then you find the radius and then the area of each blue circle, add them up and find the difference Once you have the difference divide that by the three circle's area BOOM!
they are not asking you to measure it ; they are asking you to answer it with the information you have already been given the correct answer in 9 reason 1 : the horizontal change is 3 x because it is 3 x the length at the bottom it is directly proportional so the vertical change is the same as the horizontal change the vertical change is therefore also 3 the total change is the horizontal change x vertical change 3 x 3 is 9 so the total change is 9 reason 2: length of the base x 2 is the radius the length of the larger shapes base is 3 x the smaller shaped base (hence 3x) lets say the length of the base is one (its ratio so any number would work) to calculate the area of a circle it is pi x the radius squared then you half it (x0.5) to get half the area of the circle because they are only half circles y = 3x²x(0.5π) --------------- x²x(0.5π) if you substitute x for 1 then the answer is 9
4:26 I used a large potato to calculate this. Let me explain. Choose one large potato and slice it into round circles with the same thickness. Take one of the largest slice and polish the edges to make it into a perfect circle. From the remaining bits, make 3 more circles to perfectly recreate the shape from the image. Now cut the large one in half. All you need to do now is to weight the large one and the 3 small ones. I will assume the same density because...well I used good Irish potato. So I've got the large slice being twice as heavy as the small ones. dildidi potatoes!!!
The area of the larger semi circle is is (1/2)πr^2. The blue area is (1/6)πr^2. The green area is the area of the large semi circle subtracted by the blue area. The green area is (1/2)πr^2 - (1/6)πr^2 = (1/3)πr^2. The green area is twice as large as the blue area
WRONG, lets say diameter of green semi circle is 3, and the diameter of each blue semi circle is 1, the total area of the larger green semi circle is (1/2)π(3)^2, or 4.5π, however to find the area of the green, you must subtract the three smaller blue semi circles, so you get 4.5π - 3*((1/2)π(.5)^2) which gets you 3*((1/2).25π), or .75π/2, or .375π, which is 4.5π-.375π which is equal to 4.125π. Now you compare 4.125π to .375π, and when you get 4.125π/.375π, you get 11.
@@howies2319 Both of you are using difficult numbers to make the calculation. Use r=1 for the smaller semicircles, then r=3 for the larger semicircle. Then it's obvious the blue area is 3*(1/2)*π*(1)^2 = 3π/2 = 1.5π. The larger semicircle has area (1/2)*π*(3)^2 = 9π/2 = 4.5π. Subtract the blue area to get the green area = 3π. So clearly the green area is twice as large as the blue area. VronZ is correct.
Since three small blue circles fit in the one big green circle the diameter of the green is 3 times larger than the blue. Since area of a circle is pi*r^2, and the green radius is 3 times bigger, then it is 3^2 bigger. So green area is 9 times bigger than blue comparing the circles. But since 3 blues are covering up 1 green then 9-3 is 6 for green. So 3 blue and 6 green, which leaves the green area of that image being twice the blue.
There a little fault the belguim piece that is surrounded by the netherlands is baarle hertog not baarle nassau because thats the the netherlands part of town
A dude actually left a one star Google review of an international border.
number 15
@@tetoterritory burger king foot lettæce
I would do the same. Understandable.
@@calkingarg8084 But the's a small text under it saying that this particular review is real 1:55
@@tetoterritory Big smoke is really proud of you ☺
when a kid from Netherlands said his next door neighbor came from the different country, he's not lying.
There was literally a store that closed half of their floor during the lockdown because coronavirus rules in Belgium were stricter. Not a joke, but somehow it is 😂
@@geertbeerens826 poor store, it also had to pay taxes on both countries
@@thibio_x lmao
@@thibio_x lmao
@@geertbeerens826 source ?
How many Toyotas can we fit in that border?
Correction, how many Toyotas can we Terminate on the border.
Finally someone is asking the important questions
Well a 2015 Toyota Hilux Crew Cab Variant is listed by Wikipedia as being 5335mm (or 5.335m) long. The border is listed as being 85m long. Therefore we could fit approximately 16 Toyota Hilux's parked end to end in the border
@@ToyotaPrius-km9lb none. Toyota's are indestructible.
How many Toyota _COROLAS_
As a Zimbabwean, I am very happy because of this mention
Hey how much did your phone or whatever you bought cost in zimbabuaian dollars
@@saadhehe4363 so funny hahaha
Zambian here. Happy too
@@Kazavop we were mentioned in the lactose intolerant video too lol.
*Rhodesian
Canada and mexico
Its 0 miles accros
It's short because it doesn't exist is what you are saying, it appears.
Andy Madden *w o o o o s h*
@@alfredli5187 its not funny, though
What is the longest border in the world? Oh I know the ocean and Asia Europe and africa
I was going along with the joke, not explaining it.
3:02
Almost there.
Oh wait, Spain, you forgot a bit.
Spain?
Spain, what about these bits?
*_S P A I N ?_*
wow u watched the video too?
MikePlays
i mean
@@MikePlaysYeet Bet you are fun at parties.
@@literallyabowlofcereal2559 Bet you are fun at breakfast.
@@plumeater1 I am.
I bless the rains 0:57
:D one for you: ibless.therains.downin.africa try that in your browser and have fun.
@@rivenoak best website, made me cry
The most wholesome comment strip I have ever seen, thank you.
"As sure as Kilimanjaro rises like Olympus above the Serengeti" artistic license, geographically impossible unless you're 8 miles high...
This man bought a domain for some stranger on the internet
4:30 area of a circle is calculated as pi times the radious ^2, so if the radius of the blue area is 1 unit, the radious of the green one is 3
If we define a new area unit that is the radius of blue squared times pi, then the total blue area is 3, and the total green area is 6 (9 - 3). Twice as big
NERDDDDDDDD
@@Painallity how the fuck is this recent comment on a 1-year old video getting any attention anyway also litterally just doing what i am told
@@defensivekobra3873 lol
@@defensivekobra3873 koba
Nice 👍🏿
*whips out a notepad and a pencil* The green shaded area is 2 times bigger than the blue shaded area
True that!
Is it? It doesn't even pass the eye test. So if the large half-circle radius (R) is 12cm, it's surface area is:
Rπ² / 2
= 144 * π / 2 cm²
= 72 π cm²
For smaller shapes, we have 3 half-circles, where the radius (r) is 3 times smaller than the large radius (R). So we have:
3 x (R / 3)² π / 2
= 3 x (12cm / 3)² π / 2
= 3 x 4² π / 2 cm²
= 3 x 16 π / 2 cm²
= 48 π / 2 cm²
= 24 π cm²
So that surface is 3 times smaller than the large half-circle
@@Formula7Driver You forgot a vital step; subtracting the surface area of the three blue half-circles from the larger green half-circle.
So, if we are following what you are doing above: 72 π cm² - 24 π cm² = 48 π cm². Thus making it two times as big.
@@ElectricCueball green is below the blue, but it's there
@@Formula7Driver That isn't stated in the question... If you read the question literally, then the blue area would not be included as part of the green area.
Geography Now mentioned this yesterday in his Morocco Video.
TowerGuy I watched that
Nobody owns the facts
ha! I thought I had something in my brain like this, recently lol.
Also, no one's accusing H.a.I. of "stealing" facts, other guy.
Aren't you impressed that I made this video in just 24 hours!
(Hint: I didn't just make this video in 24 hours.)
sub to PewDiePie for original content or else i`ll take ur dog
The Spanish are playing king of the rock
Run Dmc baby
And losing.
Not in gibraltar
@@moulayismail1546 im from gibraltar and Brexit is gonna f us up
Edit: i live in gib but im from melilla which both are in this video
So the Spanish do this and they want Gibralta back ???
4:31
Assumptions:
1. The compositions of both the blue and green areas form half of a perfect circle
2. Each blue area is half of a perfect circle
3. All blue areas are equal in radius
4. The sum of the blue diameters is equal to the total half circle diameter composed of both the green and blue areas
Solution:
DFN: D - The diameter of one blue circle
DFN: R - The Radius of 1 blue circle
2R = D
-----------------------------------------------------------------------------------
The Area of one blue circle:
A_b = (pi*R^2)/2
The Net Area of the blue sections:
(By Assumption no. 3) A_b-net = (3/2)pi R^2
-----------------------------------------------------------------------------------
The Area of the green/blue section:
(By Assumption no. 4) A_b/g = [pi (3D/2)^2]/2
(D/2 = R -> A_b/g = pi(3R)^2)/2
IE the area of the total composition is half of the area of a circle, whose radius is defined as half of the total diameter composition (defined as D from each blue section, which there are 3 of).
Specifically:
A_b/g = ([9D^2]/4)(pi/2)
OR
A_b/g = pi (9R^2)/2
-----------------------------------------------------------------------------------
Area of the green and blue composite area: 9pi R^2/2
Area of blue area: 3pi R^2/2
Difference between the green and blue area:
A_comp = [9-3] pi R^2/2
A_comp = 6pi R^2/2
A_comp is the area of the green section (we removed the blue areas from the total composite area)
6pi R^2/2 = 2 x 3pi R^2/2
IE
The area of the green section is defined as being twice the area of the total blue section.
The area of the green section is 2 times greater than that of the blue section.
Dumb it down for me
Why did you do that?
i got the same answer. i am not gonna read a comment this long but it took me lot less writing to solve it😂
I got the same answer. My strategy? I guessed
simpler solution
area of a circle πr².
area of a circle ¹/₂πr²
area of 3 half circles 1 ¹/₂(πr²)
Blue area (assuming radius of each circle is 1)
1 ¹/₂(π1²) ---- the three comes from having three circles.
1 ¹/₂(π1)
1 ¹/₂π ---- the are of the blue circle
area of the of the larger half circle. (note, radius is 3 times longer)
¹/₂(πr²)
¹/₂(π3²)
¹/₂(π9)
4¹/₂π
area of the green circle is the area of the larger circle minus the area of the blue area
4¹/₂π - 1 ¹/₂π = 3π
then to get the answer of how many times you multiple the blue area to get the green are, you need to divide the green area by the blue area
3π÷1¹/₂π=2
so the answer is the green area is twice the size of the blue area
*No planes?!*
*_Wendover Productions has left the chat_*
_Bob McCoy | that helipad is damn close though
Normie
You need a plane to fly to each of these destinations respectively. BOOM
He did talked about helicopter in the end though. Does that count?
Swiss001
Could you use bananas for scale? I kept getting confused about the scale
Bananas are all slightly different sizes, so yes they should have done that it's perfect for measuring
@KDS Those are too small, Bananas would be better, closer to grass
No, at HAI we use airplanes as distance units.
Is this a Dathings1 "Wow It's Made" joke, or was that joke not original with him?
Troy Van dude, that’s Wendover
You and Wendover Productions should do a collaboration :)
Idk. That guy seems like a nerd
😂
They are the same person.
@@shreeyashpandey3530 i dont believe you
@@halfasinteresting Whoa! thanks for replying ✌🏼
Did you know that since 1986, France and Great Britain share a common terrestrial border which is located in the Tunnel that links the 2 countries. I think that's no longer than 40 meters .. that could be even shorter than the one you mentioned in your video !
About the riddle in the end:
Each of the small semicircles have an area of πd^2/8 and the the whole shape, green and blue, has an area of π9d^2/8. The small semisircles have a combined area of 3πd^2/8. By subtracting the combined area of the shape with the area of the semicircles we get an area of 6πd^2/8 witch is the green one.
So the green area is 2 times larger than the blue one.
its not a riddle bitch , its a problem
and they are exactly the same size since the green area covered by blue is not green anymore
Mark no because big: ((3r)^2)pi/2 while small: 3((r^2)pi)/2 therefore big = 1.5(pi)(r^2) and small = 4.5(pi)(r^2) so green is three times bigger
My head hurts.
@@Axolotls_out The "big" area that you are mentioning is the area of the whole shape (green and blue) and not only the green area.
"In two-thousand NOW"
I'm stealing that
2:58 You're turning in to Bill Wurtz here.
those belgian villages in the Netherlands be like:
🇳🇱🇳🇱🇳🇱🇳🇱🇳🇱
🇳🇱 🇧🇪 🇧🇪 🇳🇱
🇳🇱 👄 🇳🇱
🇳🇱🇳🇱🇳🇱🇳🇱🇳🇱
I love everything about this comment
I’m dutch
@@Smartfella6969 good for you i'm so proud
Buruj Ansari ikr
@@Smartfella6969 I'm belgi- just kidding i'm asian
As spaniard myself, i know a bit of the history of those exclaves. They were part of the iberian kingdoms since the middle ages, even before Morocco exist. Spain conquered them in order to stop pirates raids in the iberian costs. I am not telling you what to think about if Spain should retain them or not, just telling their history, Spain didn't conquer them in the XIX century as is told in this video. Peace.
Interesting view. Some people would intend that the Idrisids were the first to rule Kingdom of Morocco in 8th century and therefore contend that Ceuta was Moroccan before The county of Castile even existed. But again if you go even before that Ceuta was part of Visigothic Hispania, whose count Julian was responsible for it’s conquest by the Umayyad caliphate. The world is a cat and mouse game, sometimes your the cat but you could also be the mouse, just watch out.
As half moroccan i can say that i have heard of this and although im just 13 this is mostly true
Before Morocco existed?? Do you have any idea when the Moroccan Kingdom was founded?
@@sphinxfive1331 Morocco has been ruled by many dynasties such as the idrisids, almoravids, marinids and alaouites and likewise spain has been ruled by successive houses from the Visigoths of the 7th century, to trastamaras, habsburgs, and bourbons. Dynasties change but it's the same country.
@@vedicfury9307 you're right , but saying spain ruled these cities before Morocco existed is pure nonsense because the Moroccan Kingdom was founded in 400 B.C
“Were only half way through the video”
Me: * checks video *
Also me: *oh sht u right*
Shit
Me too
ofc hes right he makes the videos
I was like whut
I was trying to leaves that time since that is my only interest
Me:Mom I am going for a walk
Mom:OK,but do not go to other countries
Me who lives in that Belgium Dutch city thing:
You can literally walk in parts of Germany for 5 minutes and cross 5 borders 😂
@@panos1b where are you able to do so? I'm personally not aware of any such place in Germany. If you count the single states of Germany, you could max reach 3 different States within 5 minutes. If you count other Nations and German States, you could in theory cross 4, but the only location I'm aware of where that is possible is in the middle of Lake Constance. So one would have to be able to walk on water or walk on a boat in order to do so.
Perhaps I simply wasn't aware that such a place exists inside Germany tho. If it's not about different borders, but you also count crossing a border with the same nation twice as long as it's at a different location, then you could do so with the German-Belgian border.
It actually used to be the case that you could pass through borders in Germany so fast, but that was in the Holy Roman Empire and the German Confederation...
I could take a short 1 hour walk and end up in Germany from where I live, tbh.
A German exchange student made a photo slideshow about living a non-controlled border with France.
In Spain we also have Llivia, a small city in middle of France. Time ago, Spain had a portion of south France called Rosellon , and It was part of Aragon ( now Catalonia ) . When Napoleón ruled Spain, they tooked that territory, except Llivia, because It was a small village and France just avoid them . I thought that was one of the smallest borders in the world, but somehow Spain just kept that anyways lmao
"Tooked"
Tenemos las que Llivia en comun, vecino del Sur, del otro lado del Pireneo encontraras la isla Kompanzia, que administramos 6 meses por Francia y seis por España cada año 😃
Llívia was always part of Catalonia. Catalonia was a territory of the Crown of Aragon (royal family), not part of Aragon (kingdom, territory)
Roussillon aka North Catalonia was ceded by Spain to France in 1659 with the treaty of Pyrenees, under King Louis XIV, so MUCH EARLIER than Napoleon.
1:55 "Except for this guy"
But there are 5 people gave that review a like, so he's probably not the only one
According to Wikipedia, Märket Island has a shorter border.
Edit: If you look at a map of the island, you can see that the border goes across water, and there is a smaller segment of land border in the south.
deet0109 Oh, hey Deet
It's between Finland and Sweden, their border is 586 km so it's not shorter
@@belzebub6663 well morocco and spain have more border than just that 85m bit.
iraliX But they don't border like Finland and Sweden in one place
Perkele
1:55 one of the coolest review on the Internet
3:03 love the Bill Wurtz influence
1:59
Half As Interesting: Which will be done by 2019
Me: I guess it'll be done this year, since this year is 2019!
Not Wendover Productions lol
When you see on google maps...they're making good progress
ME4
r/unexpectedfactorial
Maybe
I love how this came one day after Geography Now’s Morocco episode. It can’t be a coincidence!! Both of you are awesome :)
278 ft
let's put this in even MORE American terms. 278 ft is about the length of 9 school buses. it's also around 350 water bottles long. also close to 3/4 of a football (handegg) field
@Kaleb Ayana talking about a spanish and moroco frontier
David Ramirez well I’m talking about Britain or whatever so I’m not gonna say bloody after every sentence
@@FBI-real do you know another language than american english?
handegg
Even shorter than shortest MLB homerun distance.(310 ft)
3:34
We're all connected-if you remove enough water
Always love these videos!
sub to PewDiePie for original content or else i`ll take ur dog
They're alright
The reason the Bridge between Botswana and Zambia Avoids Zimbabwe is because at the initial planning of the bridge Zimbabwe was a part of it but that time it was still ruled by Mugabe who later pulled out of the deal thus forcing both countries to increase their own costs and redesign the project.
And funny enough when Mugabe was overthrown and Zimbabwe's new leader showed interest the project was to far ahead for a redesign.
BTW I am from Botswana.
Plus the reason we need that strip is coz if somehow Namibia Zimbabwe and south Africa closed their Borders over a dispute (some that will never happen only theoretical we would have it as our last option.
fun tip ;That's were the Zambezi river passes but in pur country we call it the Chobe ,yes we had to be extra .
Thank you I hope to get a few likes for my tiny paragraph.
I was always curious - can you tell me why Botswana is richer than most other African countries? Is it just mining?
As far as Wikipedia says, Botswana is as rich as some European Union eastern countries per person, so I'm just wondering.
So Botswana does have a port, access to the ocean, despite being technically landlocked.
@@warsawlloyd4026 concentration of wealth, and a low population 2.1 million people in a country the size of france, . Thing is a lot of people barely make ends meet , not meaning that there are mp peopp who are well of , we have the super rich here mostly other people from other countries . 70% of the working population earn less than. 400 us dollars. And the other 30% are government workers and others.
Thing is the wealth of the government masks the problems it has created, but thou a lot of polices from the government have done good for us. Ask more questions if you like ....
Great explanation -- thank you! I can't wait to see photos of this bridge when it opens.
if aliens ever show up, this will be one line in a long list of why humans are fucking stupid, and probably not worth their time lol.
The border is only 18,76 Toyota Carrollas long!
Toyota Christmas Carrolla
@cameron burke r/woooosh
Why the hell do so many people have that profile picture
nate da idiot Oh yeah yeah
Oh yeah yeah
I did the math in my head for the circle problem. It took longer than I think I should have, and it has been a long day, so if it’s wrong, forgive me. The green area is two times the size of the blue area. To put it in the terms used in the question, it is one time larger, but the usage of “times larger” sometimes seems to vary between referring to the difference when one is subtracted from the other or to the number of times the smaller will fit into the larger, which is why I’ve described it in two different ways.
Oh. I did it in paper and got pie1.5radius of smaller circle squared greater than the blue area. But im in 8th grade and was not taught this yet but i do know geometry pretty well. I think this is rather far above my level so points for that?
Yes the green area is twice (or 2 times) as large as the blue. I got 3 times at first but I was forgetting to subtract the blue area from the green.
It's actually 3 times (edit: it's not, @5135TheEm's comment above shows my mistake). 3 blue diameters are equal to one green diameter. Which means R=3r where R is green diameter and r is blue diameter.
Green area = πR²/2 = 9πr²/2
Blue area = 3×πr²/2 [as there are 3 semicircles]
Thus green area is 3 times the blue area
@dimple singh you’re forgetting to subtract the blue area from the green.
@@pennybuttercup902 my bad, you were right, I hurriedly replied without reading the other replies or thinking more carefully
Easy come on; radius of the blue ones = r, radius of the green is 3r. Area of a blue one is 0.5*pie*r^2. Area of the green is 0.5* pie*(3r)^2 = 0.5*pie*9r^s. Divide green by blue to get how many times larger green is than one blue, all the 9 cancel so green is 9 times larger. But there’s 3 blues so 9/3 = 3 the green 3 times larger. But it is partly blocked out. So as the blue is 1/3 the size of the whole green- 3 -1/3*3= 2. The Area that is green is 2 times larger than the area that is blue
LeackedImp7 Pi *
N E R D
Well I get the same thing (slightly different working), so hey. 🤓 (Of course that’s assuming there isn’t anything sneaky they’ve done there...)
I did this too:
If we assume the green has a radius of 1, the blue has a radius of 1/3.
The blue area is 3/18π and the green area is 1/2π.
x(3/18)π = (1/2)π
x(3/18) = 1/2
x(6/18) = 1
6/18 = 1/x
1/(6/18) = x = 3
The green is 3 times as big as the blue.
This is assuming that the green area is not (1/2π) - (3/18π) which it might be. If it is, then this is the math:
x(3/18)π = (1/2π) - (3/18π)
x(3/18) = 1/3
x(9/18) = 1
9/18 = 1/x
1/(9/18) = x = 2
The green is 2 times as big as the blue.
wut.
The green area is exactly twice the area of the blue area, and it takes up 2/3 of the total area, leaving the last 1/3 of the area for the blue.
I don't need Brilliant apparently.
Yaakov19 can confirm. Just finished the math.
Brett Daniels r/woooooooosh
@Kenn Honson X Lmaoo
@Kenn Honson X U mom gay
@@booxwee3804 your multiverse gei🙃
so, is this a coincidence it coming up one day after Geography Now Morocco? i DO think so
It's time to learn geography.... NOW!!!!
Barbs also mention this border in that episode.....
It takes longer than a day to make Half as Interesting vids, and it came out a day ago.
They talk about the same stuff a lot..
4:26 The green area is a semicircle that is geometrically similar to the three blue semicircles. The diameter of the green area is three times that of each of the blue shapes. Multiplying the dimensions by 3 means multiplying the area by the square of 3, which is 9, so the green semicircle would be nine times the size of one blue semicircle. However, the blue semicircles are subtracted from the green area, and nine blue areas minus three blue areas means that the green area has the area of six of the blue semicircles. However, the total blue area is comprised of three blue semicircles, meaning that the ratio between green area and blue area is 6 : 3. This simplifies to 2 : 1, which is our final answer.
This is a neat way of going about that problem. I just used algebra.
that's incorrect
@@_Pixie_10 Why?
@@baltasargutierrez5366 He misses the fact that green area isn't a semicircle, because it lacks the space that is blue
Geography Now just had this on.
Exactly what I thought
Hey Sam, good job on this!! Even if a few few details were a bit of, you clearly put in a lot of effort to understand a complicated topic, and I appreciate you.
Good funny, non arrogant, non boring, narration that sells an already interesting subject
2:42
Imagine playing soccer there and then the ball goes on Dutch territory so you get the ball but get arrested
Chinese Mapper they’re both in the eu and you can just freely walk from one country to the other
Ernst F I know, after the comment, I realized that fact and was too indolent to change it
Both of you don’t get the joke
mark young one of the people you are talking about literally made the joke....
@@Alucard-gt1zf Guess you're not getting the joke 😁
*s p a i n ?*
The masked country, it was trying to nab your prize
Spain did get those places before 1500 AC...
That's quite a good bill wurtz impression.
Gribaltar Español
rigor m Gibraltar es español
. . . . *Spain?* . . .
*SPANISH SAHARA IS GONE*
Españita
4:29
Say the radii of the smaller (blue) semi-circles are r each. Hence each of their areas are 0.5πr^2. Since there are 3 of them, their total area is 3x0.5πr^2,
or *1.5πr^2.*
Now the radius of the bigger (green+blue) semi-circle is r+r+r, or 3r, and hence the area is 0.5π(3r)^2,
or *4.5πr^2.*
The green area = the area of the bigger semi-circle - the total area of the blue semi-circles
= 4.5πr^2 - 1.5πr^2
= *3πr^2*
Green/blue = *3πr^2 / 1.5πr^2*
= *2*
The green area is twice the size of the blue area.
I got the same answer, but I handled things slightly differently:
I arbitrarily plugged in 12 as the d of the main half circle, making the d of each blue half circle=4, and their respective r=4 and 2.
The area of a circle=(pi)r^2, so a half circle's area = 1/2 (pi)r^2. So,
.The whole half circle's area = .5*6*6*3.14 = 56.52 and the blue half circles' area = .5*4*4*3.14*3 = 18.84
Since the green area = whole area - blue area, the ratio of green area to blue area = (56.52-18.84)/18.84 = 37.68/18.84 =2.
omg where the fuck i ended up-
@@stevendanderson8943 I just used 1 as r of small thingys and ignored the pies from the beginning cuz fuk em.
(3^2)/2 = 4.5
(1^2)/2*3 = 1.5 blue bit
4.5 - 1.5 =3 green bit
Did it in my head while driving cause quick mafs
It’s interesting to see that most people plug in values instead of thinking about proportionality
4:28 Well I see no one answering it here,so the answer is '2 times greater'. [Correct me if you think it's wrong]
One blue half circle is 3*3 = 9 times smaller than the green one. But there are three blues, so 9/3 = 3.
Edit: I forgot to exclude the blue area to the green area. So you substract 1 third and you have two thirds left, which is 2 times one third. So the answer is 2. What silly mistake I made!
@Chopsticks and Noodles It is only 2 times greater, you do not include the blue shaded area when trying to figure the area for the green circle
All of you are wrong. The answer is 1. It's not asking how many times as big. It's asking how many times bigger. That's a percentage change. If the blue has an area of 1, then the green has an area of 2. The correct math would then be (2-1)/1 = 1.
Fight me.
@@HomebrewHorsepower You're actually right! But most people interpret it the wrong way, including me.
@@jordanwarne911 I dont really think of it that way either, but it's an interesting brain bender to break it down to the level.
The shortest international border is my room from to the outside world
Can my authoritharian monarchy nation (room) annex yours?
Lmfao
@@eironn__ Sure
@@eironn__ oh wait NVM I'm high it's 4:16 am
@@abbad707 dafuq bro LOL
Legend has it that HAI is still waiting to hear back from Spain.
4:20
the answer is two times greater
blue radius= r/3 so blue area=1/2(pi(r/3)^2)
green radius=r so green area= 1/2(pi(r)^2)
so then blue=1/9 whole thing
3 blue=1/3 whole thing
if blue is 1/3, green is 2/3
1/3 * 2 = 2/3 therefore the area of green is twice the area of blue
for anyone wondering :) (i was bored so i gave it a shot)
84m between spain and morocco #geographynowgang
Refisher #wewantnoah
#RIPKEITH
Area of green is twice as much as there is of blue, simple algebra and circle knowledge
Close, but the green portion is 3 times larger than the blue one. (3r)^2/3*r^2=3.
Forgot to take out the blue area out of the green area... my bad...
Isn’t it the same bc: 3 1/2 blue circle fits in 1 1/2 green circle green and the radius of the blue is 1/3 of the green? But IDK, I’m just 12
@@real.eo_ radius is three times bigger -> area is 9 times bigger. so if one blue semicircle area is x, three blue is 3x, green semicirle is 9x. 9x-3x=6x 6x is two times larger than 3x. So Benjamin is right.
Kasper Joonatan sorry 7th grade...
0:23 dodging questions right from the start, nice
4:26 assume the diameter of green semicircle is 1. one blue semicircle has a radius of 1/3. pi*radius squared is the area of a circle so we do pi*1/6^2 which is pi/36 and because its a semicircle we divide it by 2 so pi/72. now the green semicircle will have the area of pi*1/2^2 so pi/4 and divide by 2 so pi/8. now we multiply pi/72 by 3 and get pi/24. divide pi/72 by pi/24 but to make it easier we inverse the pi/24 fraction and we get pi/72 * 24/pi. now we shorten this and get 3/1 * 1/1 so 3. so the ratio is 3/1 and the green semicircle is 3 times bigger
Ceuta and Melilla were Spanish cities almost 300 years before the colonization of africa xd
nah it's moroccan since 931
@@Ak-gb4ms it will never be morroccan
@@comandantepepperoni8104 in 931 Ceuta domanited by the Andalus till 1415 she fall under the control of Portugal, at the hands of King João I. In 1580, Spain annexed Portugal to its kingdom, after the death of King Sebastian I of Portugal.
1640: Portugal declares its independence from Spain, but the inhabitants of Ceuta prefer to remain under Spanish sovereignty
@@Ak-gb4ms IT'S MINE, NOW
@@comandantepepperoni8104 it's ours....
*The shortest topic:* exists
*HAI:* * Makes a 5 minute video about it *
I know I am 2 years late. I still calculated it anyway. I hope my calculations are correct.
4:26 The answer is: The green area is twice as large as the blue area.
G.A=2 B.A
Yeah that's what I got
how did yo get 2x, i got 3x.
3r^2*pi divided by 2 is the area of the three blue half circels or in other words 3P1, and the same formula is the area of the green half circle or P2, so P2=3P1.
you can even remove the divide by two since the ratio of surfeces is the same regaldles if its a half circle or a full circle
edit: only thing that comes to mind if you remove the blue area from the green, but we dont know if the green area is bellow the blue ones or not, so in that regard both answers are posibly corect
@@termivan We do subtract the blue area from the whole semi-circle. I don't think someone would create a question with 2 answers.
@@termivan The blue areas aren't green. They don't count toward green's area. There's nothing "below" anything, it's just a two dimensional plot of space. If you're going to imply that green extends "under" blue, then it's equally like that blue also extends "under" green. In which case green and blue are both semicircles, which just makes a mockery of the whole concept. So you take Green's area as if it were a semicircle, then subtract blue's area, which gives you a relationship of 2x, as you suggested it could.
@@InterloperBob you are right
Green is twice as big as blue in the end. The semicircles could be full circles to make it look more interesting.
4:27
Assume the base is 12
Total area = 1/2[π(6²)] = 18π
Blue area = 1/2[3π(2²)] = 6π
Green area = 18π - 6π = 12π
Green is twice as large as blue
Yeah, I was confused with the base.
I got the same answer by using R/3 to represent the green semi circles. Didn't think to sub in a value but cie la vie.
i swear there was someone screaming EMBASSIES while watching this video
4:10 I could imagine some Spanish people playing cards with some Moroccans and one goes to put a card back into the the stack and his hand almost goes over the border and then all the Moroccans aim and then a bunch of the Spaniards start firing.
4:30
Answer is 2. Assuming the diameter of the blue circles is 1, the radius of the green circle is 1.5. calculate the area of the green, subtract the area of the blue, divide that number by the area of the blue.
@@oscarpetersson5324 But the green takes space from the blue
twice the size, by congruence.
no diameters or areas to calculate, only proportions.
blue is one unit and there are three of them, green+blue is a unit of length three and there is one of them.
we are dealing with areas, so by squares (for correct area proportion) the answer is (1*3^2 - 3*1^2) / 3*1^2 = (9 - 3) / 3 = 2
therefore twice the area
since the UK and France share a land border because of the channel tunnel wouldnt that be the shortest international border?
No because its a shared tunnel. Let’s say a country builds half side of one tunnel and another builds the other half then it’s possible but both countries helped each other build it which makes the border outside of the tunnel instead of going through the channel. It’s also important to keep in mine of actual land borders than underground sea borders
That's not a "land" border.
New shortest bordes. I've made my apartment independent. The thing is that I lived in Madrid so Spain still has the shortest border :)
end riddle
say the blue half circles each have an area of 1
the green half circle is as wide as 3 blue ones
since area scales squarely with circumference, the green half circle is 9 times as big as a blue one
now there are three blue half circles each with an area of 1, the blue area is 3
the green half circle has an area of 9 but the green area has 3 blue half circles removed
so the green area has an area of 6
6 divided by 3 is 2
the green area is twice as big as the blue area
Let us assume the diameter of the green circle is 3cm. This is arbitrary, but it does help us solve this problem. To find how much bigger the green area is compared to the blue, we have to find the area of the bigger half-circle and subtract away the three smaller blue half circles. ((3/2)^2 x 3.14) = 7.065. Now because it is a half-circle, we divide it by two. This means the larger half-circle area is 3.5325cm2. now, we need to calculate the area of the three smaller circles. Since the diameter of the larger circle is 3cm, and there are 3 smaller circles, each diameter of the smaller circle is 1cm. area of one smaller half-circle: ((1/2)^2 x 3.14)/2 = 0.3925. Each blue half-circle is 0.3925cm2. because there are 3 half circles, we multiply that area by 3. 0.3925 x 3 = 1.1775cm2. because these smaller semicircles are taking up the larger semicircle's area, we subtract the area of the smaller semi-circle from the larger one. 3.5325 - 1.1775 = 2.335
What we have now is the area of both colors. Green has an area of 2.335cm2 and blue has an area of 1.1775cm2. to find how much bigger the green is compared to the blue, we can turn these numbers into a percentage. (1.1775/2.335) x 100 is 50. We can conclude blue is 50 percent of the Green's area, therefore, green's area is 2 times bigger than blue's area.
Final answer: Green is 2 times the size of Blue.
Do you want to make a video on why is it worth it for Brilliant to advertise the same service to the same audience over and over again? Its genuinely an interesting question because 3-4 times on the same channel seems enough for people to acknowledge their existence.
This is a classic problem in advertising. Why does coke run so many ads when it seems almost everyone knows it exists? The answer is pretty simple. Babies.
More specifically, if something is known by everyone, then almost paradoxically the rate of people finding out about it is quite high. It's the birthrate. Every day 12,000 people are born in the US, meaning almost 12,000 people a day are seeing a coke ad for the first time. That's why they keep running ads.
Same is true for brilliant, but in this case the rate of people seeing the ad for the first time is the rate of people finding this channel for the first time.
Tldr as long as people keep finding this channel, or makes sense to keep running the same ads.
Objects in Motion I somewhat understand the implications for Coke. And I feel like a powerful brand image is part of it too. But in case with Brilliant if they get 100k new people finding out about them (which is the main reason for them running these ads according to you) then surely there would be someone who is ready to pay more for 500k of new potential audience.
You would think, but in the end views are not important, subscriptions are. Brilliant keeps running ads on HAI because they have data showing it works. For every channel Brilliant advertises over and over on, there are 10 channels that get 1 ad and no others (I know of a few, they always seem like they don't belong on certain channels). The first time an ad runs is always a risk, its a a trial that rarely breaks even on the ad cost. Advertisers only make money on the repeat ads, which they only run on carriers that pass the trial. Brilliant knows that the new influx of people watching HAI are the type of people who are more likely than average to purchase a subscription. Even if only 10% of the views on this video are new, if on average 5% of HAI views are into Brilliant (0.5% of total views), then they make more than if say a cosmetics company runs an ad and, not surprisingly, only 0.2% of the audience are into makeup.
Thus, while another company might get significantly more exposure by running many first-time ads, its very risky and often only profitable if it helps you find your target audience. After which point it makes sense to focus on the people that are newly joining that audience.
The answer is : they repeat it to make you feel that should be your first option. They engrave it in your minds . Many times companies use catchy rhymy tunes to do the same
@@ObjectsInMotion
Babies shouldn't be watching UA-cam!😘
"Returning" Ceuta and Melilla... Morocco wasn't a thing when those cities were founded, and as such the UN doesn't see them as colonies (unlike Gibraltar)
You are completely right, this video lacks some research
But the question is: do these cities want to be part of Spain or part of Morocco?
@@NeighborSenpai
Just like almost everyone on Gibraltar wants to be part of the UK, almost all of the population of Ceuta and Melilla wants to be part of Spain
@@nachoolo enough said
Brexit deal - Give Gibraltar to Spain and the #SBA's ( Sovereign Base Areas [of Cyprus] ) to Cyprus
Great video! I enjoyed that sarcastic humour that characterizes your productions. BTW, the L in Melilla is pronounced as the L in “London”, and the same happens with the L in Vélez.
And what about the shortest border between a recognised and unrecognised state? My first guess would be the exclave of Kokkina. A tiny bit of Turkish Cypriot controlled territory surrounded by the internationally-recognised Republic of Cyprus and separated from the rest of the self-declared Turkish Cypriot ‘state’ (TRNC).
The UK and France have a short border half-way along the Channel Tunnel.
Fun fact: Gibraltar has a neanderthal £1 coin design which is the old version which was one of the coins I have been longing to get. That is how I know Gibraltar.
In Gibraltar, they found the last (most recent) Neanderthals.
@@warb635 That is so interesting!
@@eg4789 Thank you for the offer, but I already have one, sorry!
Hmmmm......GeographyNow uploaded a video on Morocco yesterday, and Wendover uploaded a video on Morocco today.....What a coincidence!
Wendover? what are you talking about? This is half as interesting!
@@eddypc07 shhhh guys don't let him know.......
4:30 answer is 2 times bigger
Explanation below if you care, keep scrolling if not.
Ag = Area of green
Ab = Area of blue
r = radius of green
y = how many times bigger
Giving us Ag = yAb
And we need to solve for y
Area of circle= πr²
Ab consists of 3 semi circles which total diameter equals the diameter of green, therefore diameter of blue = ⅓ diameter of green. As radius is directly protional to diameter, radius of blue = ⅓ radius of green. Then divide by 2 (written as ×½) as it's a semi circle and times 3 as there's 3 (you could also combine this as times 1.5 as 3/2 is 1.5 and you can see 1.5 blue circles, but I don't like decimals in equations, and it makes things easier down the line). This gives us
Ab=3π[r/3]²×½
Green is easier, it's simply area of the green circle, divided by 2 to make it a semi circle, minus area of blue. Thus
Ag=πr²×½ - Ab
We can write Ag = yAb as
πr²×½-3(π[r/3]²)×½ = y3π[r/3]²×½
From here it's a case of simplifying and rearranging. Firstly, move the -Ab to from left to right of =, by adding Ab to both sides. As y is number of Ab, just add 1 to it.
πr²×½=(y+1)×3π[r/3]²×½
Both π and ½ cancel out simply.
r²=(y+1)×3[r/3]²
Rearrange to make y+1 the subject
y+1= r²/3[r/3]²
Expand [r/3]² brackets
y+1 = r²/(3r²/9)
As we're dividing by a fraction, we can times by the inverse of a fraction, which gives us
y+1 = 9r²/3r²
The r² cancels out
y+1 = 9/3
9÷3 = 3 thus
y+1 = 3
Then subtract 1 from each side
y = 2
Thus Ag=2Ab.
This is not a plane, am worried...
Normie
You know what's half as interesting? *_in the future there will probably be a sky border to stop people from coming in_*
You're probably right! I mean ... I don't know why we'd get rid of the concept of airspace for some reason lol. . .
@@Jesse__H cause planes have to rent airspace for every mile they fly
Spain?
Spain what about these bits?
*S p a i n*
Answer to the maths question for anyone wondering:
The formula for the area of a circle is πr^2. So for a semicircle, it is πr^2/2.
The radius of the green semicircle is 3x the radius of one of the blue semicircles.
Let's call the radius of one of the blue semicircles 1. So the radius of the green semicircle is 3.
So the area of the full green semicircle is π x 9/2, which is 4.5π.
The area of the 3 blue semicircles combined is three times π x 1/2, which is 1.5π.
So the green area (green semicircle - blue semicircles) is 3π.
Therefore, the green area is 2x the blue area.
found the answer OH YEAH ! so i got answer so i don't need that website
Something about that Dutch town: in those Belgium bits there are also Dutch bits, so it's a bit of the Netherlands in a bit of Belgium in the Netherlands
Random Person: [Digs a trench across the border to remove the world record]
Melilla is a very, very special place. It has beautiful beaches and its natives are Spaniards, North Moroccans and Jews which all live peacefully together. The only bad thing is that the last few years it has become a bit overcrowded as people use it to cross into European borders from Africa but that isn't as bad as it used to be at one point.
Also, it's a tax paradise ;)
The underground border between France and the UK in the Channel tunnel is even shorter: 7.6m + 4.8m + 7.6m = 20m (inner diameter of the two train tunnels and the service tunnel).
While that does appear to be the shortest land border, the entire GB/France border stretches from the Atlantic, the length of the channel, into the North Sea, and this video is including underwater borders.
@@asterix811 Well, this vid takes only one point of the land border between Marocco and Spain, while there are other ones (Ceuta and Melilla) and they don't count sea borders.
Anyway, it's just an interesting fact about an useless thing...
3:48
Him: it says its virtually worthless in politics
Also him: says that losing it will lose some relativly big cities to Africa
The green bit has double the are of the blue sections
3 times the area
The ‘Spain’ bit cracked me up xD
Question at the end:
We can clearly see that the middle circles are 1/3 of the diameter of the bigger larger circle.
By using the formula " R × R × π" we can calculate the area of any circle and take half of it for calculating half a cricle.
Lets calculate the inner circle first by using any number, i choose 3 for R
( 3 x 3 x 3,14 )/ 2 = 28,26
Now multiple by 3 since we have 3 half cicles
28,26 x 3 = 84,78
Now lets take the outer circle
Since the middle circles diameter is a third of the larger we can conclude that in this case the R would be 9 so:
(9 x 9 x 3,14 )/2 = 254,34
Now lets subtract the area of the inner circles
254,34-84,78=169,56
169,56 is double of 84,78 so the green area is twice as big as the blue area.
You're correct but I think it's nicer to just keep the variables like pi instead of multiplying it out.
That way you get (r×r×pi)/6 for the blue area and (r×r×pi)/2 for the whole thing
from there it's as simple as 1/2 - 1/6 to get the area of the green part which is ((r×r×pi)×2)/6
So ignoring the (r×r×pi), because it's the same for both you get 1/6 for blue and 2/6 for green, obviously meaning green=2×blue
I like this better, because it can be done entirely without the need of rounding the irrational numbers you get, when multiplying with pi
Having to rounf them obviously will always lead to small amounts of inaccuracy, so avoiding it is beneficial
Also I'm to stoopid to multiply with pi in my head and I didn't want to go get a calculator
Have a good day :)
The Spain part actually had me laughing out loud
If we assume the green has a radius of 1, the blue has a radius of 1/3.
The blue area is 3/18π and the green area is 1/2π.
x(3/18)π = (1/2)π
x(3/18) = 1/2
x(6/18) = 1
6/18 = 1/x
1/(6/18) = x = 3
The green is 3 times as big as the blue.
This is assuming that the green area is not (1/2π) - (3/18π) which it might be. If it is, then this is the math:
x(3/18)π = (1/2π) - (3/18π)
x(3/18) = 1/3
x(9/18) = 1
9/18 = 1/x
1/(9/18) = x = 2
The green is 2 times as big as the blue.
How many times greater is the green area than the blue area?
Infinity, I love green infinitely more than that kind of blue.
3 I think. But I used substitutions and terms of pi
I got 9
Edit nvm you right. I forgot to multiply the blue area by three cause there three of them.
@@garrettyoung3597 I had it at 5, but i used 9piRsq instead of 9/2piRsq.
It's twice as big
Green is twice as big as blue.
Radius of green = 3* radius of blue
Area of blue = 3/2 *pi* rad of blue sq.
Area of green =total area of big semi circle - area of blue
= pi*rad of green sq/2- area of green
Da da da da da......
Area of green = 2* area of blue
4:30
I'm pretty sure it's 2
so the area of half of a circle would be (pi r^2)/2
to get the area of the green part we will need to subtract the area of the blue parts(x), so (pi r^2)/2 - 3x
if we assume that the radius of the green part is 1 then the radius of the blue part will be 1/3 so we calculate the area x = (pi * 1/9)/2 = 1/18pi
we need three of these areas, so the total area of the blue areas is 3x = 3/18 pi
from this we can get the green area (pi * 1)/2 - 3/18 pi = 1/2pi - 3/18pi = 9/18pi - 3/18pi = 6/18pi = 1/3pi
we then divide the green area by the blue area 1/3pi / 3/18pi (we can get rid of the pi's) = 1/3 / 3/18 = 6/16 / 3/18 = 2
sorry for any mistakes in my english
That's literally the easiest math question ever, I need to do that all the time in school
You find the radius of the WHOLE green circle then find the area (pie radius to the power of 2) then once you find the area you divide by 2
Then you find the radius and then the area of each blue circle, add them up and find the difference
Once you have the difference divide that by the three circle's area
BOOM!
they are not asking you to measure it ; they are asking you to answer it with the information you have already been given
the correct answer in 9
reason 1 :
the horizontal change is 3 x because it is 3 x the length at the bottom
it is directly proportional so the vertical change is the same as the horizontal change
the vertical change is therefore also 3
the total change is the horizontal change x vertical change
3 x 3 is 9 so the total change is 9
reason 2:
length of the base x 2 is the radius
the length of the larger shapes base is 3 x the smaller shaped base (hence 3x)
lets say the length of the base is one (its ratio so any number would work)
to calculate the area of a circle it is pi x the radius squared
then you half it (x0.5) to get half the area of the circle because they are only half circles
y = 3x²x(0.5π)
---------------
x²x(0.5π)
if you substitute x for 1 then the answer is 9
4:26
I used a large potato to calculate this. Let me explain.
Choose one large potato and slice it into round circles with the same thickness. Take one of the largest slice and polish the edges to make it into a perfect circle.
From the remaining bits, make 3 more circles to perfectly recreate the shape from the image.
Now cut the large one in half.
All you need to do now is to weight the large one and the 3 small ones. I will assume the same density because...well I used good Irish potato.
So I've got the large slice being twice as heavy as the small ones.
dildidi potatoes!!!
same, but my large potato was inside of my head
Now that's mathematically correct
The area of the larger semi circle is is (1/2)πr^2. The blue area is (1/6)πr^2. The green area is the area of the large semi circle subtracted by the blue area.
The green area is (1/2)πr^2 - (1/6)πr^2 = (1/3)πr^2. The green area is twice as large as the blue area
WRONG, lets say diameter of green semi circle is 3, and the diameter of each blue semi circle is 1, the total area of the larger green semi circle is (1/2)π(3)^2, or 4.5π, however to find the area of the green, you must subtract the three smaller blue semi circles, so you get 4.5π - 3*((1/2)π(.5)^2) which gets you 3*((1/2).25π), or .75π/2, or .375π, which is 4.5π-.375π which is equal to 4.125π. Now you compare 4.125π to .375π, and when you get 4.125π/.375π, you get 11.
@@howies2319 Both of you are using difficult numbers to make the calculation. Use r=1 for the smaller semicircles, then r=3 for the larger semicircle. Then it's obvious the blue area is 3*(1/2)*π*(1)^2 = 3π/2 = 1.5π. The larger semicircle has area (1/2)*π*(3)^2 = 9π/2 = 4.5π. Subtract the blue area to get the green area = 3π. So clearly the green area is twice as large as the blue area. VronZ is correct.
Since three small blue circles fit in the one big green circle the diameter of the green is 3 times larger than the blue. Since area of a circle is pi*r^2, and the green radius is 3 times bigger, then it is 3^2 bigger. So green area is 9 times bigger than blue comparing the circles. But since 3 blues are covering up 1 green then 9-3 is 6 for green. So 3 blue and 6 green, which leaves the green area of that image being twice the blue.
As an Spanish, I'm very happy with this data.
*_What if there was a border wall exist on Middle-Earth where the Hobbits are restricted from the area?_*
They just walked into Mordor anyways. ;p
@@KainYusanagi One does not simply walk into mordor
0:25 me dodging my responsibilities
There a little fault the belguim piece that is surrounded by the netherlands is baarle hertog not baarle nassau because thats the the netherlands part of town
3 times larger
edit: i was thinking of the green area as a semicircle so yeah 2 times