Tetracontagon

Template:Regular polygon db A tetracontagon or 40-gon is a shape with 40 sides and 40 corners.

Regular tetracontagon

All sides of a regular tetracontagon are the same length. Each corner is 171°. All corners added together equal 6840°.

Area

The amount of space a regular tetracontagon takes up is

$\text{Area}=10(1+\sqrt{5}+\sqrt{5+2\sqrt{5}}+\sqrt{{(1+\sqrt{5}+\sqrt{5+2\sqrt{5}})}^2+1})t^2$

a is the length of one of its sides.

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