Find the area of the semicircle. (Blue shapes are squares)pic.twitter.com/EUpSO4dJw8
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Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.
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Find the area of the semicircle. (Blue shapes are squares)pic.twitter.com/EUpSO4dJw8
Can you show why the size of the squares doesn’t affect the answer?
Of course, that’s the real puzzle. Not yet, I’ll see if I can do it in my head first.
It puzzles me how anyone can resist responding to a problem like this by symmetrizing: for surely that semicircle cries out be replaced by the whole circle of which it is a part. Then the solution becomes obvious: red segment = blue segment, by reflection through green segment,pic.twitter.com/FHnOp5kAQb
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