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