Decagon

Decagon

Polygon with ten sides.

Properties

A decagon has ten interior angles and 35 diagonals.

If the decagon is a regular decagon, then each of its interior angles measures 144°.

The apothem a of a regular decagon with a side length of c units is \(a = dfrac{c}{2 tan (frac{π}{10})}\)

Formula

The formula to calculate the area A of a regular decagon of side length c is:
\( A=frac{5}{2}a^{2}sqrt{5+2sqrt{5}} \)

Examples

General decagon

sommet_consécutif

Regular decagon

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