Help on area regular polygon

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What is a regular polygon?

Area regular polygon are polygons which all sides are equal in length and also all the angles measures same in degrees. In other words a regular polygon is equilateral and equiangular. For example: a square, a triangle having all sides equal.

Ways to Find Area of Regular Polygons

There are many ways to find the area of a regular polygon.

1) When length of the side of regular polygon is given

In area of polygons all sides are equal in length. Even if length of one side is given we can calculate area of a regular polygon using the formula below

AREA = S² N / 4 tan ( Π / N ) S- length of any one side

N - No. of sides of a regular polygon

2) When the radius of a regular polygon given

AREA = [R² N sin ( 2 Π / N ) ] / 2 R - radius of a regular polygon

N - No. of sides of a regular polygon

sin - is a sine function

3) Given the Apothem (The perpendicular distance from center to vertex)

AREA = A² N tan ( Π / N ) A - Length of the apothem

N - No. of sides of a regular polygon

tan - tangent function

4) Given both the apothem and side length

Here first determine the perimeter by multiplying the side length by N. The area can now be calculated as below

AREA = AP / 2 A - Length of the apothem

P = perimeter