Heptagon

A heptagon

A heptagon, also referred to as a septagon or 7-gon is a shape with 7 sides and 7 corners.

Regular heptagon

All sides of a regular heptagon are the same length. Each corner is about 147.27°. All corners added together are about equal to 6840°.

Area

The amount of space a regular heptagon takes up is

$A=\frac{7}{4}{a}^2\cot \frac{\pi }{7}\simeq 3.634a^2.$

a is the length of one of its sides.