Math Hacks: Circles - Parts of a Circle
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- Опубліковано 29 вер 2024
- #shorts
In this video, we cover an overview of the different parts of a circle and the formulas we use to calculate them! Specifically we cover radius, diameter, circumference, arc, chord, tangent, secant, sector, and segment! While this is a general overview, below I have included the link to a playlist that goes into more detail on all of the different parts of a circle, and formulas covered in this video and how we can use them!
Complete playlist of circles:
• Circles
For a pdf handout of this content, check out the link below:
drive.google.c...
You're voice is fr so relaxing!
Haha, interesting! I’ve actually never been told that before!
😂
Our class teachers left the chat 💀
Sorry I had to take some time off! I’m back now! Let me know if there are any topics you want covered! :)
10 Q for the tiaching😊😊
I hope it helped!! :)
Thank u sooooooo muchhhhhh ❤️❤️❤️ sir
Sir U and mansi mam are the best teacher in mathematics and explaining
Thank u soooo muchhh sir and mam
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I’m so glad I could help!! :)
You explain better than my teacher
Haha, I hope it helped!! :)
Teachers just say the name of it then gives you a quiz
Bro I swear
As a maths teacher, I can tell you that infodumping is not explaining.
Explanations require feedback, answering a student's personal questions about their own understanding.
@@XLatMaths This ^!
So many students truly believe that these short-form info-dumps actually "teach" them anything. And, not only that, they think they teach more than their teacher does in an entire year! It's ridiculous how determined they are to be against their teachers.
This helped so much with my homework
Thank You!!!❤️
My pleasure!! I’m so glad it helped! :)
Tell about major minor arc sector
I actually have a video on that exact thing! I don’t know how to link it in the comments, but it should be on my channel or in a playlist about circles! :)
Hi do you have a ppt or pdf for reviewer purposes, thank you.
I have some, but I don’t think I’ve made one for circles yet! I’ll get on that and post a comment here with a link to it! :)
@@makemathmakesense8005 thank you so much
How do you know anything😮😮
Haha, I wish I did!!!
What does the 0 mean
Hi there! Do you mean the θ symbol? This is a commonly used symbol to represent an angle! It's the Greek letter theta! You will often see unknown angles or an angle of interest denoted as θ instead of a classic unknown "x" or something like that to clarify you are talking about angles! Makes life a bit easier, especially when working with triangles/trigonometry! :)
thanks bro it's very much helpfull to me. very very much thanks
My pleasure! I’m so glad it helped you out! :)
How do you know how much an arc curves ? For example you have a metal rod that you want to curve to match the circle/ sphere.
Hi Jay, that's a really good question! This can really be broken down into two different types of questions!
The first is how "round" your arc is! This is not the best way to word it, but think about it as: how large is the radius of the circle your arc is for! For example, the arc around a tennis ball would be "smaller" than the arc around a basketball, because a basketball has a much larger radius! To answer these questions, we need to specifically know the radius of the circle we have, or the circle we want to make! In your case, if you want to curve a metal rod around a circle, you will need to know the radius of that circle! Depending on the application, it might be easier to use that to determine the circumference of the circle! Once you have that, you will have all the information you need to calculate an arc of a certain length around that circle! How much of the circle you want to cover leads into the next type of problem!
The second is how much does an arc curve around a circle? Or in essence, how much of the circumference does the arc cover? This can be calculated a couple different ways depending on what information you are given! The circumference of a circle is 2πr and the entire angle for a full circle is 360 degrees for 2π radians! So depending on what information you are given, a ratio of these formulas can be used to calculate an arc length for a specific arc!
Let me know if that helps! If you have a specific problem from homework you are working on (that has numbers, etc.), please don't hesitate to post it here and I will do my bets to walk you through it! :)
@@makemathmakesense8005 thank you for the response
@@makemathmakesense8005 So let’s say there’s a ring that has a diameter of 1 meter and attached to the ring are some metal rod that are pointing up towards the sky , the objective is to curve the metal rods to make a hemisphere shape ( the ring is the base and the rods are the curves).I’m trying to figure out how to articulate how much the rods have to curve to make this happen , (if the rods are also 1 meter I’m guessing that the rod would curve to the other side of the ring and if they are 0.5 they would curve to the centre of the ring and then another rod on the opposite side would have to meet it ) what would the math be that I could use to express this ? Specifically the curvature of the rods ,what would it be ,degrees ,radians or something else?
@@jaygin6518 So a couple ways of thinking about this! First, make sure that the rod would have to curve! If the diameter of the circle is 1 metre, and the rods are 1 metre, the rod would directly go from one side of the circle to the other without curving! If the rod is greater than 1 metre, that's when curvature would start happening!
The next question would be how are we getting the rod to curve! If you think of bending a rod, it could take many shapes! To make a perfect semi-circle shape, the rod would need to be πr in length (where r is the radius of the ring, or 0.5 metres in this case), because the full circumference is 2πr, and we only want half that! Anything more or less than that is not going to make a perfect semicircle! And in this case, you could say the arc of the circle is 180 degrees or π radians to make this shape (half a circle)!
If you still wanted to make less than half a circle shape (rod length greater than 1 but less than πr, arc will be less than 180 degrees) or greater than half a circle shape (rod length greater than πr, arc will be greater than 180), the math will get a lot more confusing, and sadly not easy to explain! In short, the arc your rod is making will be part of a circle shape that has a different diameter than your original ring, and therefore you will need to use some other tricks to determine the size of this new circle your rod would be a part of!
@@makemathmakesense8005 I don’t really understand, If I wanted to make a hemisphere ( a dome) out of rods , let’s say that a metal ring is the base with rods pointing up welded to the ring (making a cylinder)how would I express how curved the rods need to be to complete the shape . The ring is flat on the floor . What I think you said is that the rods would have to be longer than 1m if the diameter of the ring is 1m , to make a hemisphere the rods would have to be 0.5 m off the ground at the centre of the ring . How would I know how long the rods need to be and how would i express the curvature? The connection point would alter the length and curvature (?) so let’s say that the rods arc to the other side of the ring and not coverage at the centre .
Thanks yrrr😂
You're very welcome! I hope it helped!! :)
What is m x y ?
M is the slope, X and Y are variables! Together they make a linear equation! :)
Greate 😅😊
I hope it helped!! :)
Bro spelled center wrong.
Centre is the Canadian/British spelling! Center is the American spelling! Neither is right or wrong, just depends on where you are from! I’m Canadian, so use centre in most cases! :)
@@makemathmakesense8005thanks also for this lol
Complicated wtf
Pardon my delayed response, it was exam season! Is there something in particular that confused you? I can try and clarify it! :)
@@makemathmakesense8005 so sorry. think ur explanation was quite easy to understand.
Can you tell me if secant and tangent is related to trigeometry
Although the terms are the same for circles and trigonometry, secant and tangent have wildly different meanings in trig! Explaining what exactly something means in trigonometry gets difficult as simple concepts can become quite complex the more you delve into them! In short, tangent and secant are both trigonomic ratios! You’ll often hear of “sin” (sine), “cos” (cosine), and “tan” (tangent), but there is also the inverse ratios/functions! So 1/sine = cosecant, 1/cosine = secant, and 1/tangent = contangent! So these ratios can be used to solve triangle side lengths (usually you’ll use SOH CAH TOA, and I have a video on that on my channel), you can graph the functions to represent various relationships, etc! Does that make sense? :)
commenting for save
Thank you so much sir!
My pleasure!! I hope it helped! :)
thank you Sir its help me so much
You’re very welcome! I’m so glad it helped! :)
Great work
I teach Maths and Particularly Geometry in Pakistan in Urdu.
Asalam alaykum! :) thank you for the kind words! My best wishes for your teaching career!! :)
And pardon the late reply, it was exam season on my end and I had to focus on that instead of UA-cam!
@@makemathmakesense8005 JazakAllah sir. Best wishes to you too sir.
Thanks mate this will help me on my exam
I’m so glad it will help!! Good luck on the exam, I hope you ace it!! :)
Thanks you mate I'll will promise you that
Hello! I think perimeter of segment of a circle ( degree) is - r × π x theta/180 + 2r sin theta.
In the video it showed theta was divided by 2
So please explain me with a reason
Hi Kevin! So the perimeter of a segment of a circle is composed of an arc and a chord, which we add together to get the segment perimeter! The formula for an arc length is = (rπθ)/180 and the formula for the chord length is = 2rsin(θ/2)
I have a video that goes a little more in depth into that, but doesn't specifically cover why a chord length is equal to "2rsin(θ/2)"! That reason comes down to some right angle trigonometry, and "splitting the chord" into two right angle triangles to solve for the chord length, which is why we get the θ/2 in our equation! Without diagrams in this comment section, it is tricky to show why it is that way! But I have added an additional link below that shows the proof! I hope it helps! :)
ua-cam.com/users/shortsYzyiY3pcJ9I
proofwiki.org/wiki/Length_of_Chord_of_Circle
Thank you so much
My pleasure!! I hope it helped!! :)
Thankyou sir
You are very welcome! I hope it helped!! :)
Thank u so much
My pleasure!! I hope it helped!! :)
thank you so much sir
You’re very welcome! I hope it helped! :)
Well done do you have this as a print out we can download pls????
Hi Greg! Sorry about my delayed response! I've made a link to a Google Drive where you can download this as a print out! I hope this helps! Let me know if you want pdfs of any other videos! :
)
drive.google.com/drive/folders/1vEKiZ2ZI-zQkJZTfGL3uTjpWxakULezC?usp=sharing
@@makemathmakesense8005 thank you very much. Keep up the great work.
This went from 4th grade math to trig real quick.
Haha yeah… math can do that! With these concepts, the intent is to teach high school level work! But sometimes, depending on the school system, what you might think is easy grade 4 math gets missed for some people! And those definitions are needed to understand the trig ones! So while the start may seem super easy, I just wanted to make sure everyone was caught up before the trickier stuff! :)
@makemathmakesense8005
Agree 100%
Math is amazing. For example, we are all taught how to add. And addition may seem very simple on the surface. However, when we start talking about summation and number sets, even simple addition can become very very complex. And missing just one concept can halt one's ability to continue in such complex/real analysis.
Great video and thank you for the reply!
Puri janam kundli kul di
Sorry I’m not sure what you said! English is sadly my only language! :(
Thankyou so much ❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
You’re welcome!! I hope it helped!! :)
Thank you so much. Very helpful :)
You’re very welcome!! I hope it helped!! :)
Thank you you made this lot lot easier
I’m so glad I could help!! :)
Am sixty now
I’m not sure what you mean!
Thanks it's easy to make file
I've also premade a file for someone who requested it below! It's in a Google Drive if you're interested! :)
drive.google.com/drive/folders/1vEKiZ2ZI-zQkJZTfGL3uTjpWxakULezC?usp=sharing
Redy for tomorrow's exam😅
Good luck!! You got this!! :)
Yes I am redy
Thanks
No problem! I hope it helped! :)
Wow best teacher in the world😮😮
You’re too kind!!
Center*
Centre is the Canadian/British spelling! Center is the American spelling! Same thing, slight nuances in our languages is all! :)
I appreciate you. I appreciate you.
Thank you! I hope my videos helped! :)
😂😂😂
😊
I hope this helped! :)
❤❤❤❤
I hope it helped!! :)
I got one problem with this, and as a harvard professor we are used to say, to find the arc theta is divided by 360 , multiply by the circumference which implies using a 2 in π2r, but you didn't use this, instead you divide by 180. Not a good teaching or explanatory way😢
You are absolutely correct this is the shortened version of the formula! I have another video on my page that goes into depth on how the calculate the formula, what each part means, and when the simplification occurs! I will link it below if you are curious! This video is just meant to be a quick summary before a test, reminding someone of all the equations! For learning the concepts, I would recommend looking at the playlist in the description of this video! Those videos provide more detail, and don't simplify formulas as I have in this video! I Hope that helps! :)
ua-cam.com/users/shortslCsN7f54KAY
i wish i saw this earlier
I hope it can still provide some help for you now!! Let me know if there are any other math topics you want some videos on and I can link them to you, or make some new ones for you that cover those topics! :)
Cool😮😮😮🎉🎉🎉🎉😊❤
I hope it helped!! :)
Very important for be because I make a chat of circle thanks for this sir 🙂🙂🙂🙂
I hope it helped!! :)
It helps me a lot 😊😊
I’m so so glad it helped!! :)
Thanks ❤❤❤
You’re very welcome! I hope it helped! :)
Your a life saver
I’m so glad I could help!! :)
Tysm man ur the best
I’m glad I could help!! :)
@@makemathmakesense8005 np
So you are saying acord is just secant but just limited to the inside of the circle?
Exactly! :)
Hi. My geometry eoc is very soon. Can you calculate an arc by taking the circumference, dividing it by 360 degrees and then multiplying by the degrees of the angle?
And also. Can you explain why 180 degrees is there in arc formula?
I’m so sorry for my late reply, I was a little occupied with my own school! Do you still need assistance with those questions? :)
money left you broken?
bro sounds like he's being held at gun point
Lol, I assure you I’m not!!
As an 8th grader from India I am currently feeling Genius after watching this YT short...
Thanks sir for satisfying my curiosity ❤
I’m so so glad it could help!! :)
You explained better than my teacher
Haha well thank you for the kind words! I hope it helped! :)
Thank you po teacher
My pleasure!! :) I hope it helped! :)
bro took speedrun to a whole new level.
Haha, yeah with only 60 seconds in a short I had to go quick! But I have a couple, and plan to make more longer form videos on my channel which will be at a more leisurely pace! These shorts are mostly just for a quick watch before test/exam to remind you of formulas and techniques! :)
Looking forward to
Thank you very much @MakeMathMakeSense
for your help
You’re very welcome!! :)
Thankuu so much 🩷 because of you i complete this topic... 🙃🩷
I’m so glad I could help!! :)