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area of a regular polygon

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

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