Area of a Regular Polygon

The area of a regular polygon is given by the formula below.

area = (½)(apothem)(perimeter)

Several other area formulas are also available.

Regular Polygon Formulas

n = number of sides s = length of a side r = apothem (radius of inscribed circle) R = radius of circumcircle

Sum of interior angles = (n – 2)·180°

Interior angle =

Area = (½)nsr

Regular Pentagon

Regular Hexagon

Regular Heptagon

Regular Octagon

Regular Nonagon

See also

Area of a convex polygon