Maths & numbers

Regular polygon calculator

Find the area, perimeter and radii of a regular polygon.

Regular polygon calculator
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A clear answer. Here’s how.

Assumes equal sides and equal angles. Perimeter = ns; apothem = s/[2tan(π/n)]; area = perimeter × apothem / 2; circumradius = s/[2sin(π/n)]. Angles shown in degrees.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Number of sides
6
Side length
4

Example result

Perimeter
24
Area
41.5692193817
Apothem
3.46410161514
Circumradius
4
Interior angle
120°