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Squaring the circle

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A circle and a square, with the same area.

Squaring the circle is a problem of geometry. The problem is to construct a square that has the same area as the unit circle, only by using a compass and straightedge construction method. Some people also call this problem the quadrature of the circle.

In 1882, Ferdinand von Lindenmann proved that this is impossible because it is impossible to calculate √π exactly, which is a transcendental number.