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Cutting Up

Is it possible to divide a circle into n parts of equal area using only a straightedge and compasses?

SelectClick for Answer

Yes. Draw a diameter, divide it into equal parts, and then draw semicircles on those divisions:

https://mathslinks.net/faculty/equal-areas-in-a-circle-design-activity
Image: mathslinks.net

June 7, 2019 | 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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