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Circle Area (classic visual proof)

This is an animation of a classic visual proof showing how to find the area of a circle by using more and more wedges and arranging them in a rectangle. #manim #mathshorts​ #mathvideo​ #math​ #geometry #mtbos​ #animation​ #theorem​​​ #visualproof​ #proof​ #iteachmath #mathematics #circle #area #infinite This proof can be traced to both Satō Moshun and Leonardo da Vinci (see Smith, David Eugene; Mikami, Yoshio (1914), A history of Japanese mathematics, https://archive.org/details/historyof..., page 130-132 and Beckmann, Petr (1976), A History of Pi, St. Martin's Griffin, page 19). You can also read more about this in a great NYT article by Steven Strogatz: https://archive.nytimes.com/opinionat... To learn more about animating with manim, check out: https://manim.community Here is the source code for this animation: https://github.com/Tom-Edgar/MVPS/blo... ____________________________________ Music in this video: Epic Adventure Cinematic Music | MOVIE by Alex-Productions | https://onsound.eu/ Music promoted by https://www.free-stock-music.com Creative Commons Attribution 3.0 Unported License https://creativecommons.org/licenses/...

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