Animated Proof of Area Between Three Tangent Circles

This is a short, animated visual proof finding the area bounded between three mutually tangent unit circles.

Have a different solution? Share it in the comments!

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!

Check out these related videos:
https://youtu.be/5VaQVXECaVM
https://youtu.be/6DnnJlzbCC4
https://youtu.be/PNQxS6antBY

This animation is based on an exercise from Roger Nelsen's and Claudi Alsina's wonderful book "Icons of Mathematics". You can find the book and other information about it at the links below

(I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S

https://www.maa.org/press/maa-reviews/icons-of-mathematics-an-exploration-of-twenty-key-images

https://bookstore.ams.org/dol-56/

#manim #math #mathvideo #mathshorts #geometry #hexagon #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #root3 #pww​ #proofwithoutwords​ ​ #proof​ #algebra #areas #mathematics​ #mathvideo​ #mtbos

To learn more about animating with manim, check out:
https://manim.community