Hexadecagon

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Regular hexadecagon
Regular hexadecagon

In mathematics, a Hexadecagon (sometimes called a hexakaidecagon) is a polygon with 16 sides and 16 angles. A regular hexadecagon is constructible with a compass and straightedge.

The area of a regular hexadecagon of side length a is given by

A = 4a^2 \cot \frac{\pi}{16} = 4a^2 (\sqrt{2}+1)(\sqrt{4-2\sqrt{2}}+1)

Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.

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