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YouTubepolymathematic
The Surprisingly Simple Geometry Behind πr²
We’re taking one of my favorite visual arguments in all of geometry—the wedge-to-rectangle transformation for circle area—and walking it out slowly. Start with a circle, slice it into a bunch of triangular-ish wedges, and then rearrange those wedges so the curved edges land on the top and bottom. With only a few slices, the whole thing ...
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