Heptagon

A heptagon or septagon or 7-gon is a shape with 7 sides and 7 corners.

A heptagon

Regular heptagon

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