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`P = sqrt(((4* tan(pi/ "n" ))* "A" )/ "n" )`

Enter a value for all fields

The **Polygon Perimeter from Area and Number of Sides** calculator computes the Perimeter of a polygon based on the polygon's area (A) and number of sides (n).

**INSTRUCTIONS:** Choose units and enter the following:

- (
**n**) Number of sides of the regular polygon - (
**A**) Area of the polygon

**Perimeter of a Polygon (P):** The calculator returns the perimeter in meters. However, this can be automatically converted to compatible units via the pull-down menu.

A regular **n**-sided polygon is a polygon with **n** equal length sides and is a polygon which has **n** equal angles at the **n** vertices of the polygon. This formula uses the polygon area equation:

`A = (n * s) / (4 * tan(pi/n))` to solve for **s**. This is the length of a side corresponding with a polygon of **n** sides and an area of **A**. The circumference is simply stated as follows:

` "Polygon Circumference" = s * n`

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