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# Regular Polygon Calculator

A polygon is defined as the closed two-dimensional figure, that comprises three or more straight lines. The term polygon originates from the Greek word poly - meaning “many” and “- gon,” meaning “angles.

## What is Regular Polygon Calculator?

'**Regular Polygon Calculator**' is an online tool that helps to calculate the area and perimeter of a regular polygon. Online Regular Polygon Calculator helps you to calculate the area and perimeter of a regular polygon within a few seconds.

### Regular Polygon Calculator

**NOTE:** Enter the values up to three digits.

## How to Use Regular Polygon Calculator?

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

**Step 1:**Choose a drop-down list to find the area and perimeter of a regular polygon.**Step 2:**Enter the number of sides and length of the side in the given input box.**Step 3:**Click on the**"Calculate"**button to find the area and perimeter of a regular polygon.**Step 4:**Click on the**"Reset"**button to clear the fields and enter the new values.

## How to Find Regular Polygon Calculator?

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.

**Area of the regular polygon = (s) ^{2} × N / 4tan(π / N)**

Where 's' is the length of the side of the polygon, 'N' is the number of sides of the polygon, and assume π is 180°

The** perimeter of the regular polygon** is defined as the sum of all lengths of the sides of the polygon for a given number of sides. The formula to calculate the perimeter of the polygon is:

**The perimeter of the regular polygon = Sum of all the sides = Number of sides × length of the side**

**Solved Examples on Regular Polygon Calculator**

**Example 1:**

Find the area and perimeter 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:**

Given: Number of sides = 3 and length of side = 5 units

Area of the regular polygon = (s)^{2} × N / 4tan(π / N)

= 5^{2} × 3 / 4tan(180 / 3) [assume π = 180°]

= 25 × 3 / 4tan60°

= 10.839 square units

The perimeter of the regular polygon = sum of all sides of a polygon

= 5 + 5 + 5

= 15 units.

**Example 2:**

Find the area and perimeter of the regular polygon if the number of sides of a polygon is 5 and the length of a side of the polygon is 7 units.

**Solution:**

Given: Number of sides = 5 and length of side = 7 units

Area of the regular polygon = (s)^{2} × N / 4tan(π / N)

= 7^{2} × 5 / 4tan(180 / 5) [assume π = 180°]

= 49 × 5 / 4tan36°

= 84.48 square units

The perimeter of the regular polygon = sum of all sides of a polygon

= 7 + 7 + 7 + 7 + 7

= 35 units.

**Example 3:**

Find the area and perimeter of the regular polygon if the number of sides of a polygon is 4 and the length of a side of the polygon is 6 units.

**Solution:**

Given: Number of sides = 4 and length of side = 6 units

Area of the regular polygon = (s)^{2} × N / 4tan(π / N)

= 6^{2} × 4 / 4tan(180 / 4) [assume π = 180°]

= 36 × 4 / 4tan45°

= 36 square units

The perimeter of the regular polygon = sum of all sides of a polygon

= 6 + 6 + 6 + 6

= 24 units.

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