Heptadecagon

A heptadecagon or septadecagon or 17-gon is a shape with 17 sides and 17 corners.

A heptadecagon

Regular heptadecagon

All sides of a regular heptadecagon are the same length. Each corner is 158.82°. All corners added together equal 2700°.

Area

The amount of space a regular heptadecagon takes up is

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

${\displaystyle A={\frac {17}{4}}a^{2}\cot {\frac {\pi }{17}}\simeq 22,735a^{2}}$

Heptadecagon construction

The regular heptadecagon edit geometry compass and ruler in 1796, demonstrated Carl Friedrich Gauss.

This is due to Göttingen of a memorial statue of a regular heptadecagon pedestal.

The following animation of a heptadecagon editing.

Related pages

• Carl Friedrich Gauss