HOW TO FIND ARC LENGTH AND SECTOR AREA OF CIRCLES | GEOMETRY

Learn how to find the arc length and sector area of circles using proportions. We will go over the formula for arc length and sector area, but this video also walks through how to set up the equation without memorizing it. There are 3 arc length example problems and 3 sector area example problems.
Timestamps:
00:00 - Intro
00:40 - Arc Length Problem 1
03:22 - Arc Length Problem 2
04:34 - Arc Length Problem 3
06:53 - Sector Area Problem 1
08:49 - Sector Area Problem 2
09:45 - Sector Area Problem 3
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Tags: your math tutor, geometry, arc length geometry, sector area geometry, how to find arc length, how to find sector area, how to find arc length and sector area, arc length of circle, sector area of circle, length of an arc, arc length tutorial ,finding arc length, finding sector area, arc length examples

[@yourmathtutorvids]

Thanks for watching!

[@ertugulghazi9557]

❤

[@tonybatycki]

Why is the last answer in square inches? I believe I missed something obvious. I appreciate your help!

[@Vamp_Zenn]

I cannot explain how helpful this was, I have a unit test in trigonometry and this saved me. Keep up the good work

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[@greasyhighlights]

Thanks I finally understand how to do this after like an hour or two of just looking for videos!

[@thelaststand8993]

I wasn’t been able to solve some problem,thanks you a lot,keep up the good work

[@thrillifpeople5337]

you explained it better than my teacher! thank you :D btw if you want to find the meters at the end use: (80/360)x(3.14 x (6^2))

[@yourmathtutorvids]

Thank you 🥰 I’m so glad this video helped!

[@nightmare76935]

Do you divide the 80/360 and then find the result of 2π6 and the multiply it??

[@tobiawe1210]

You're the best, Thanks for thorough explanation.

[@ursulamclean2295]

Wow, this really helps me to help my son with circles. Great teaching.

[@sreeg2831]

I cannot truly thank you enough. This video has got to be one of the most praagmatic yet verry digestable math tutorials Ive ever seen, I love how in depth you go into explaining the formula and why their shown that way. Under-standing how it works just makes my knowledge about this topic that much more flexible and logical. Sorry for glazing but this video deserves it, to anyone else reading the comments while watching the video, trust that you and your quiz grade are in good hands❤❤

[@yourmathtutorvids]

Thank you! I haven’t posted a video in a while but it really made my day reading your comment 💛 I’m so glad this video helped

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[@olukayodegiwa7425]

Please can you do a video on the other ones like segment, perimeter of a circle and the rest Thanks for the video

[@user-ye6zu4ln1d]

Thank you so much . Been struggling for a while 😭😭

[@estefaniatexis6484]

Omg ur the best I was so confused

[@paralellosll3849]

Very well explained.👏

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[@SweatySockGaming]

Also can you do more proof videos, like for linear algebra or real analysis. Theres barely any on youtube

[@yourmathtutorvids]

Sorry my channel is focused on high school and middle school math! Have you checked out TheTrevTutor on KZbin? Also office hours helped a lot

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thank u

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Literally saving me rn 😭

[@SweatySockGaming]

Hello what engineering did you study or which US uni. Im looking to find good us engineering unis to transfer to from a canadian math undergrad (uoft). Thanks

[@yourmathtutorvids]

Hello! I studied biomedical engineering and was choosing between ucla, usc, and carnegie mellon. I ultimately chose usc (for reasons other than their engineering program). Other great schools are MIT, caltech, georgia tech, university of Michigan, university of illinois. Let me know if you have any other questions!

[@susanacarasa6070]

How do I solve for a sector if I have the angle and the arc data, but not the radius? … I watched many videos and this one was the easiest to understand, thank you.

[@yourmathtutorvids]

Great question! I’m thinking you can first use the angle and arc length to find the radius (like in the first half of the video). Now, that you have the radius, you can find the sector area (using the formula in the second half of the video)

[@susanacarasa6070]

@@yourmathtutorvids thank you for your help!

[@voidesu]

How did you get 8.4 in 3:19

[@mrbootytaker5000]

i was so confused as well she didnt explain that you change the pi symbol into 3.14 then you plug it into the calculator and round. honestly pissed me off so much because i kept plugging in the pi symbol and kept getting syntax error. i figured out that you can still use the pi symbol if you want if you do it like this: 80/360(2 x π x 6) and you get the same answer. dont add spaces i did it to show it better and i used the same numbers from number 1 at 3:19. hope this helps buddy

[@nayelicampos6540]

I have a question, How you get 8.4 meters in the first problem?

[@yourmathtutorvids]

I first set up the equation (using proportions), plugged in the numbers, then solved for arc length! Let me know if there’s a specific part that you don’t get

[@Justin___J__P]

@@yourmathtutorvids How did you solve L=80/360(2π6)

[@foreverandalways_taylor]

@Heather Gillette Why do you multiply 0.222222 by 12?

[@foreverandalways_taylor]

@Heather Gillette Ohhh nevermind I get it. The radius is 6 so the diamater must be 12, therefore 0.222222 is multiplied by 12 cuz its the diameter and you get 8.37, rounded to 8.4. Ty

[@joselinegarcia9678]

@@yourmathtutorvids miss no offense but you're not that good at going into detail w how to actually solve it.

[@user-mz5sj5yz9b]

I thought the formula was Fraction of Circumference ×2pir for arc length

[@MacdarlynKemo]

Sorry how did you get 8.4 I'm confused

[@mathmistico]

Thats by substituting the values of π and r and then simplifing. So hasn't shown that working part. (80/360) × 2 ×3.14×6 Hope i could help you out of ur confusion 😊

[@randomes919]

problem 1 s answer is 8.37

[@keanajohnson]

Ok, I’m Confused. We first divided 80/360 then what’s next?

[@bienvenidos9360]

Then multiply by the circumference if you're solving for arc length. Or then multiply by the area of the circle if you're solving for sector area.

[@user-pd4rs4tr6s]

More. Harder question

[@shaniya8200]

3:14 wait you didnt say where that answer even came from😟

[@sminhas38]

another formula is: x°/360°*2πr all u do is plug in the values, in this case it will be 280°/360°*2πr you solve that and you get 8.377 which rounded off is 8.4

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[@Bengisity]

oh yeah lemme just drop out of middle school and escape the matrix smh

[@frequency7679]

my only question is how are your "r's" shaped bro

[@londekadlamini1609]

You didn't explain how you got 8, 4

[@mylifeassimona2761]

she did a terrible job at explaining the first one

[@yourmathtutorvids]

Hello! Is there something that would have make it more easy to understand? Thanks!