# Polygon Calculator

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Calculator / Last modified by KurtHeckman on 2019/01/24 01:57
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This vCalc Polygon Calculator provides equations that compute the area, the length of sides, and the perimeters of various regular polygons.

#### Calculator Tabs  Figure 2: Inner Circle and Segment

Polygon Area: - This tab contains equations for computing the area of a regular polygon:

Polygon Side Length: - This tab contains equations for computing the length of the sides of a regular polygon:

Polygon Perimeter: - This tab contains equations for computing the perimeter of a regular polygon:

#### Description

A regular polygon is a polygon with n equal length sides.  A regular polygon also has n equal angles at the n vertices of the polygon.  Because of the symmetry of the regular polygon, all the vertices of the polygon can be constructed to touch a circle in which the regular polygon is inscribed and all the chords that are polygon sides will then obviously be of equal length .  Likewise, because of the regular polygon's symmetry, a circle constructed to be inscribed in a regular polygon and touching the polygon will touch the regular polygon at the midpoint of the polygon side.  As shown in the pictures, Figure 1 and Figure 2, lines from the regular polygon's vertices to the circle's center form n isosceles triangles of equal area.