A closed plane figure composed of line segments with three or more sides and angles is called a polygon. There are different types of polygons based on the number of sides. A regular polygon is a polygon in which all sides are equal in length and also the measure of all the angles are same.

Polygon calculator is an online tool to calculate  the area and perimeter of any regular polygon.

## Polygon Formulas

1.Since the length of the sides are equal in regular polygon, one can calculate the area with known value of sides. The formula for calculating the area and perimeter is given below

$$Area = \frac{I^{2} N}{4 \tan(\frac{\pi}{N})}$$

$Perimeter$ = $N \times I$

$I$ - Length of any one side
$N$ - No. of sides of a regular polygon

2. Area of regular polygon with known value of apothem and side length.

$Area$ =  $A^{2} N \tan ($$\frac{\pi}{N}$$)$

$A$ - Length of the apothem
$N$ - No. of sides of a regular polygon

An apothem of a regular polygon is a segment whose end points are the center of the polygon and a point at which the inscribed circle is tangent to a side. An apothem of a regular polygon is also a radius  of the inscribed circle.

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