In this short, wordless animation, we show one way to "find the area of a circle" using the method of exhaustion by unrolling successive circumferences of nested circular shells. In this manner, the circle area gets transformed into the area of a triangle with base 2pi times r and height r.
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To see an alternate (and quite viral) video showing this in stop motion, check out this one from @MinutePhysics : • Proof Without Words: The Circle
For more information about this construction, see
https://personal.math.ubc.ca/~cass/co...
or check out this nice survey article by David Richeson from the May 2015 issue of The College Math Journal: https://doi.org/10.4169/college.math.... .
Here is an alternate way to find the area of the circle using the method of exhaustion: • Circle Area (classic visual proof)
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To learn more about animating with manim, check out:
https://manim.community
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Music in this video:
Heartwarming by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/...
Source: http://incompetech.com/music/royalty-...
Artist: http://incompetech.com/
Watch video Circle Area by Peeling Circumference online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 01 May 2023, don't forget to share it with your friends and acquaintances, it has been viewed on our site 11,657 once and liked it 436 people.