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:

Regular Pentagon

**Regular Polygon Formulas**
*n* = number of sides

*s* = length of a side

*r* = apothem (radius of inscribed circle)

*R* = radius of circumcircle