Unveiling The Remarkable Discovery Of Pi By A Genius - Prepare To Be Amazed!
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- Опубліковано 31 тра 2024
- If you are a mathematician, this video is not for you. If you are a visual thinker, this will explain everything your Math teacher left out!
When you find out how the value of Pi was discovered, it will change your whole idea of Math and Geometry. Teachers tell you that Pi is about 3.14 but they never explain why. Visual thinkers need things explained in another way and this will explain it so you go OH! Now I understand!
Follow the instructions and you can make your own Archimedes discovery of Pi to amaze your friends with.
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This is is the best explanation of pi I've seen so far, that too the explanation was by one of the best artists. And the drawings were simple yet elegant, I'm impressed and you have caught my attention
Ditto!
Hello ! Please tell me if the circle was smaller and stopped to say 2 and something ? What happen ?
@@user-hl2go8tw7n If the circle was smaller then both its diameter and circumference were smaller, and they would be smaller by the same factor. So for a circle of any size its circumference will always be 3.14 times its diameter.
I always learned: "Circumference = π • diameter"
I always thought everyone understood pi as being the ratio between the circumference and diameter of a circle, but this video brought back a memory.
When I first saw someone write C=2πr, I was so confused why they used a more complicated and abstract formula. C=πd is so much simpler and tells you explicitly what you showed in this video.
It makes sense if you learned C=2πr, you wouldn't get the same intuitive understanding of what pi is. By the way, I would recommend you measure the diameter instead of the radius, because measuring the diameter gets you a smaller relative error of the measurement.
maybe as it is helpful with the area of a circle being π r2
Nice video Shoo. Fun Fact to work out PI,
How I wish I could calculate PI
How = 3, I=1, wish=4, I=1, could=5, calculate=9, pi=2
3.141592=PI
Never heard that! Id spend all day counting on my fingers and adding up wrong 😆
Or, as they might say in France:
Que j’aime à faire apprendre un nombre utile aux sages !
Immortel Archimède, artiste, ingénieur, qui de ton jugement peut priser la valeur ?
Pour moi ton problème eut de sérieux avantages !
The final "2" isn't accurate; as the following digit is 6, the 2 would round up to 3. This can be corrected by changing the mnemonic to: "How I wish I could calculate PIE." My favorite pi recipe: "Start with eight squared plus seven, divide by eight squared plus seven squared, then multiply by five."
@@christopherstoney4154 When it comes to π nothing is really accurate. While it is correct that you would have to round up due to the following digit being 6, this is only the case if you want to terminate the digits here (which makes it a rational number that isn't technically _equal_ to π). The sixth digit after the decimal point is in fact 2. You could also fix this by writing π = 3.141592...
This is the most logical explanation of pi
This is put together very well! You always sound so happy while talking about all this which makes it feel very welcoming
Glad you think so! 😃
For a GENIUS, deriving the the value of PI was A PIECE OF CAKE…
How did that wheel instantly turned into 3D with the addition on Grey sketch 😨😨
Very great explanation sir
Good question!
This is the first time I ever heard a lesson regarding circumference and diameter of circles
I thought it was a complex question and in fact I found a beautifully simple answer in this video. Thank you. Consequently I've now subscribed.
I wish there were more teachers like this guy!
This is a really nice explanation of what Pi is / where it comes from. It is NOT a demonstration of how Archimedes determined a more precise value than "a little more than 3". Pi is only approximately 3.14, and Archimedes didn't have access to numbers written in decimal form anyway - they hadn't been invented yet. He was able to work out (using a very brilliant geometric method) that the number of diameters it takes to equal the circumference has to be between 3 10/70 and 3 10/71. That was enough precision for him, and it gives us 3 1/7 (22/7) which is about 3.148. Would love to see you make a video showing that method!
Thanks - It's really for the visually minded and mathematically challenged. For some people the maths only makes sense when there is a practical demonstration behind it. 😃
Yes, I read that he used hexagons inside and outside a circle and doubled them until he got to 96 sides. Then he found out the perimeter that way into the fractions you described.
@@shooraynerdrawing I enjoyed your explanation. I always thought of pi as "just a number," but now I "see" that it's 3.141592... DIAMETERS of a circle!
Nice video. If you do this again, right around the six minute mark of the video, when you were getting three and a half and a then three and a quarter, measure the line with your ruler... to that mark... and divide that by the diameter of your circle. Use that as your decimal. You wrote down 3.14 out of nowhere because that was what we were told pi was in school. The straight line distance divided by the diameter of your wheel is the way to go, if you don't know about 3.14 ahead of time.
22/7 (3.1428) was Archimedes upper boundary for PI not PI itself. Archimedes said PI lies between 3.1408 and 3.1428 which is approximately 3.141. Of course he stated it in fractions not decimals. 223/71 < π < 22/7 or 3.1408 < π < 3.1428 So pi must be ~ 3.141_
I have seen that animation many times on Wikipedia,
but I never thought, it was the origin (not to mention, that Archimedes wasn't the only, but the most accurate Mathematician)
This is an awesome illustration of Pi. Thanks!!!!!!
I can’t tell if I was watching an art tutorial or a math explanation
a bit of both! 😆
This is how it should be taught in public schools
I figured this out in 4th grade by experimenting with various coins as my “wheel”. We hadn’t learned fractions yet so all I could say was “the distance around a circle is a little bit more than three times the diameter.”
Well actually I didn’t know the word diameter yet so it was “A little bit more than three times across the circle.”
Eureka! 😆
ua-cam.com/video/hfIhPaNKxN8/v-deo.html
Amazing explanation of pi. I've never thought that's how someone would discover it. 👍
Very helpful! That looks like an interesting book!
It is!😆
I love these. More please :)
I went to a top 100 high school and I took AP calculus as a junior and I am now 39 and you just explained to me how pie came about
lol you were taught by mathematicians not artists 🤣
Its PI π not pie🥧
@@billshiff2060 cool story bro tell it again
@@thecommonsenseconservative5576 Its a fact not a "story". Something tells me your "top 100" high school had those short busses lol.
@@billshiff2060 your "something" was on those short busses that drove by my high school you dumb pedantic
Brilliant explaination
So, by using this formula (l=dxπ), you can calculate the lenght the wheel will cross when you roll it one full circle based on its diametar.
Awesome thank u ✌🏻📚
This is the most brilliant explanation of Pi I have ever come across. Well done, good sir! subscribed.
Hello ! Please tell me if the circle was smaller and stopped to say 2 and something ? What happen ?
Very helpful
Nice video. If you do this again, right around the six minute mark of the video, when you were getting three and a half and a then three and a quarter, measure the line with your ruler... to that mark... and divide that by the diameter of your circle after you measure your wheel. Once you have that answer to the division problem, use that as your decimal. You wrote down 3.14 out of nowhere because that was what we were told pi was in school. The straight line distance divided by the diameter of your wheel is the way to go, if you don't know about 3.14 ahead of time.
This is the best explanation, and I refuse to learn anything else any other way
Good for you! 😄
I finally understood what pi is .. incredible and it is soo simple! like all genius things it is simple.
Do you think that anyone would explain in this way in elementary?
Everyone would have understood.
Math teachers think in numbers and don’t understand that others think in images. They don’t get it so carry on the old way
Great job!
Thanks!
Just learnt that Archimedes also invented the decimal system.
thanks very for this easy concept.
Glad you liked it!
Awesome!
Thanks!
I mean THIS IS THE BEST EXPLANATION Thanks man
engineers: pi=3. Take it or leave it
The explanation and demonstration was outstanding sir.
Thank you so much!
Aryabhatta discovered pie
Oh my! Thank you.
You're welcome!
I remember in year seven being asked to measure the tins in mums cupboard. Diameter and circumference. Most of us got three and a remainder.
That really is truly astonishing... I had no idea Pritt Stick was even around in Archimedes time...
Yeah! it's been going forever! 😂
Thanks this video is very useful
Glad it was helpful!
This will help me a LOT in my school project thank you sooooo much mind sir
Most welcome 😊
awesome explanation
Glad you liked it
Thank you so much. I’m truly greateful.
Brilliant
I just subscribed because of this explanation.
"and here is one i made earlier". Every Blue Peter Presenter ever
Delightful video
Glad you enjoyed it
Love your videos!
Beautiful
Thank you! Cheers!
Wow, great video!
Thanks!
And then there’s my teacher who gave me homework to search how pi how was created?Yaaaaaaaaaaa
THANK YOU!!!!
You're welcome!
I swear if someone told me this I would have done pure Maths instead maths literacy in school 😂
Marvellous
The use of the home avalible parts really caught my attention
I didn’t even know what pi until my dad and the guy explained it to me
I
Thanks man
You're welcome!
Love the videos!
Glad you like them!
What I came for: The history of pi
Why I stay: A quick art attack craft
You’re the mathematical counterpart to Bob Ross.
brilliant
I like the rounded digits on your calculator. Who is the manufacturer?
lol - that's an iphone!
Truly you are one of the best teachers i have ever come across.
Very useful video sir.
I would like to have this book in India .
Pls tell me how may can I purchase it from you ??
Thank you! It should be avaioable ithrough book stores :)
That's pretty cool
I always knew what pi represented, but the simplicity of how Archimedes discovered it is astonoshing.
Is there a mathematical proof that the ratio of the diameter and circumference is always pi?
I'm afraid you'll need a mathematician not an artist for that! 😄
great.
I think if you explained this to school kids they would enjoy mathematics more. Such a great demonstration
That's why I made the video. Mathematicians wouldn't think to explain this for visual thjinkers!
Hello ! Please tell me if the circle was smaller and stopped to say 2 and something ? What happen ?
let's all agree if I had watched this my exam would have been simpler and more fun to memorize.
The cord dimension of an included angle of 1/60° (MOA) at exactly 300 yards (10800") = pie π.
6:28 "No one ever told me that, no one. If they did I wouldve understood"
I have completed my high school. I wish I would have known this when I was in my school and I would rock it before my friends and teachers.
lol
nice you showed the circumference and pi relation ship ,Is there a way to show the Area and pi relation ship too using cardboards ?
Oooh! I’ll have to think about that
See my reply under comment from "tom01". I don't use cardboard but I explain the relationship between Pi and area.
Would a Shredded Wheat carton do just as well?
Crunchy nut cornflakes is best. They were Archimedes fave 😆
I wonder who taught him, and where? Keep going back... 😊👍🏿
damn the part where he explained how pi came to be blew my mind
( ꈍᴗꈍ)
Makise Kurisu sugoi.
In time, go back
Yippiyay.. !!! Wowie 👏...
Good job though seriously
tremendous
Hello ! Please tell me if your circle was smaller and stopped to say 2 and something ? What happen ?
if the circle is smaller or larger the ratio is still exactly the same
Chuck Norris needed a pick up truck, so he invented pi.
I'm dopey and don't get it. 😢
I always thought he used geometry and trig to get a precise number....he used a 6-sided hexagon inside a circle worked out the circumference of that, then made it into a 12-sided shape and got the circumference, made _that_ into a 24-sided etc etc until he'd made a 96 sided shape and was able to figure out pi to about 10 digits.
Good effort though, certainly at the conceptual level of probably most people.
for non mathematician visual thinker, this comes as a revelation. You may be right... but so might I!
Being a maths student, it's very time consuming😒... but understood well...👍👍😃
Yes, true... but it's for non-maths students to understand! lol
But who was the first person to discover that this circumference/diameter ratio is a ratio with infinite value? Where was this discovered and how exactly was this "measurement" found? Can anyone help me find this information?
We don’t know that Pi is infinite!
I believe it IS infinite. See my reply under "tom01" comment.
Two lines in a circle line equate 4 quarter one diameter and three lines
Archimedes didn't have sophisticated tools, all he had was an old wooden cartwheel.
Luckily, we have sophisticated tools like,
*Kellog's Crunchy Nut Cornflakes*
you got it!
Yeah. They never explained anything to me. They just threw rules and numbers at me to put on my paper.
I wonder where he came up with 3.14159-------?
There must have been some calculation that someone performed whose answer was pi, and it wouldn't make sense for the known numbers of that calculation to be some ugly addition/subtraction or multiple of pi so I've always wondered how we got pi in the first place. I do still wonder how they continued to calculate the least significant numbers during the discovery of pi.
I think what if the story is, someone try to use a wheel with diameter is 1 2 3 4 6 and then measure the circumference. all of those ended up not a whole number. then they stop, take a break and eat some pie. After that they try again with diameter is 7 and this time the circumference is 22 and it's a whole number. So, I call it a pi. Yes I made this up.
So it will work in every rotating body?
Good explanation but... the symbol m is for meter! Milimeter is mm! The first m represents mili and the second m represents meter. That's why Km is kilometer, mg is miligram and Kg is kilogram (usually only called kilo).
Is the book still available??
it certainly is amzn.to/3xMLepP
Wow
If only he compared the radius to the circumference instead of the diameter
Now everyone learns about pie instead of tau
You said something very important, had you been explained like that, you would have understood it way faster.
6:13 oh boy i do not know how to count like that 😂😂😂😂😂😂😂😂😅😅😆😆
A long time ago I took a roll of duct tape and measured the circumference of it, which was 12 inches. Then I measured the diameter, which was three and thirteen sixteenths (3.8125). Then I divided the circumference by the diameter and got 3.1475. Close enough?
6:37 OMG HOW YOU KNOW!!!!!! Maybe thats why i dont know how to count like that😂😂😂😂😂😂😂😂😂😂😂😂
Happy pi day everyone
Get any cyliner and a long enough piece of non-strech strand. Easier
An easy way to calculate the first six digits of pi:
1. Take the first three odd numbers: 135.
2. Double each digit: 113355.
3. Divide the last three digits by the first three digits to five decimal places: 355/113.
Answer: 3.14159
If anyone knows of numbers that will produce more correct significant decimal places, I’d love to know them.
U r good 👍
Thanks 😅