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HARD Geometry Puzzle In The Simpsons

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The Simpson's 26th season finale "Mathlete's Feat" is full of mathematical problems. The final problem is a challenging geometric problem. Can you figure it out? You can skip to 4:58 for the solution. Kudos to the writers of The Simpsons, who have a long history of bringing math into the TV show. I enjoyed learning about this background in Simon Singh's book "The Simpsons and Their Mathematical Secrets" If you're curious how to prove pi is irrational, Ivan Niven wrote a proof that involves calculus that many high school students should be able to understand. Here is my write-up...
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