Area of Regular Polygon Calculator

 The term polygon originates from the Greek word poly - meaning “many” and “- gon,” meaning “angles.

What is the Area of the Regular Polygon Calculator?

'Cuemath's Area of Regular Polygon Calculator' is an online tool that helps to calculate the area of the regular polygon. Cuemath's online Area of Regular Polygon Calculator helps you to calculate the area of the regular polygon within a few seconds.

How to Use Area of Regular Polygon Calculator?

Please follow the steps below on how to use the calculator:

• Step 1: Enter the number of sides of a polygon and the length of the side in the given input box.
• Step 2: Click on the "Calculate" button to find the area of the regular polygon.
• Step 3: Click on the "Reset" button to clear the fields and enter new values.

How to Find the Area of Regular Polygon?  

A polygon is a closed two-dimensional figure, that comprises three or more straight lines.

The area of the regular polygon is defined as the amount of space enclosed within the boundary of a polygon. It is measured in square units.

Where 's' is the length of the side of the polygon, 'N' is the number of sides of the polygon.

Solved example:

Find the area of the regular polygon if the number of sides of a polygon is 3 and the length of a side of the polygon is 5 units.

Solution:

Area of the polygon = (s)² × N / 4tan(π / N)

= 5² × 3 / 4tan(180 / 3)  [assume π = 180°]

= 25  × 3 / 4tan60°

= 10.839 square units

Similarly, you can try the calculator to find the area of the regular polygon for:

• Number of sides = 7 and length of the side of the polygon = 14 units
• Number of sides = 9 and length of the side of the polygon = 8 units