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Half Measures

A problem from the January-February 1991 issue of Quantum:

https://commons.wikimedia.org/wiki/File:Regular_octagon.svg

Prove that the area of the yellow rectangle is half that of the full octagon.

SelectClick for Answer

A simple method is to cut the regions into corresponding pieces:

https://commons.wikimedia.org/wiki/File:Regular_octagon.svg

November 7, 2024November 6, 2024 | Puzzles

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Futility Closet is a collection of entertaining curiosities in history, literature, language, art, philosophy, and mathematics, designed to help you waste time as enjoyably as possible.

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