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Area of a Regular Polygon

The word Polygon is derived from the Latin word polygonum and the Greek word polygonan. In the field of geometry, a regular polygon is a typical plane figure that is bound by a closed path or circuit. All the sides of a regular polygon are of equal length and all the interior angles of the same measurement.

Some of the well known polygons are the triangles, quadrilaterals, hexagon, pentagon etc.

For a regular polygon with n sides of length s, the area is given by:

A = \frac{n}{4} s^2 \cot{\cfrac{\pi}{n}}.


Regular Pentagon



Regular Polygon Formulas

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