Pentagon Perimeter Calculator

Introduction

Welcome to our Pentagon Perimeter Calculator, where you can calculate the Pentagon’s perimeter easily and quickly. A Pentagon is a two-dimensional closed figure with five sides and five angles. The five interior angles in a pentagon add up to 540 degrees.

The perimeter of the pentagon is the total distance around the shape; So, it is obtained by adding the length of the sides. Generally, we measure it in units like centimeters, inches, meters, feet, etc.

How to use the Pentagon Perimeter Calculator?

Using the Pentagon Perimeter calculator, you can calculate the perimeter of the pentagon by inputting the length of one of the sides of the pentagon.

The variables in the Pentagon Perimeter Calculator include

Side (a)
The length of the side of the Pentagon.

Perimeter (P)
The sum of lengths of the five sides of the pentagon.

What is a Pentagon?

The pentagon is a polygon with five sides and five angles. It is a closed two-dimensional shape.

Basically, Pentagons can be classified into four types based on the length of their sides, a measure of their angles, and their vertices.

1. Regular Pentagon: if all five sides of the Pentagon are equal and all five angles are equal, then the Pentagon is called a regular pentagon.

2. Irregular Pentagon: if the sides and the angles of the Pentagon are not equal, then it is called an Irregular Pentagon.

3. Convex Pentagon: if all of the Pentagon’s vertices point outward,then it is called a Convex Pentagon.

4. Concave Pentagon: if at least one of the Pentagon’s vertex points inward, it is called a Concave Pentagon.

Properties of a Pentagon

1. the sides of the Pentagon do not overlap.

2. The sum of a Pentagon’s interior angles will equal 540 degrees.

3. Each interior angle of a Regular Pentagon measures 108 degrees.

4. Each exterior angle of a Regular Pentagon measures 72 degrees.

How is the Perimeter of the Pentagon Calculated?

Perimeter is the distance around the shape; So, for a pentagon, to calculate the perimeter, we have to add the lengths of the sides of the pentagon.

We can calculate the perimeter of the pentagon by using the following formula.

Where,

a = Length of one side of the pentagon

Examples

Given a pentagon with length of side equal to 11 cm. What is the perimeter of the pentagon?

The perimeter of the pentagon can be calculated by using the following formula

As shown above, in the calculation, the perimeter of the pentagon is 55 cm.