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Proof Without Words: Squares in Circles and Semicircles

by Roger B. Nelsen (Lewis and Clark College)

This article originally appeared in:
Mathematics Magazine
December, 2009

Subject classification(s): Geometry and Topology | Plane Geometry


The author shows that a square inscribed in a semicircle has \(2/5\) the area of a square inscribed in a circle of the same radius.


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