Octagon Perimeter Calculator

Introduction

Welcome to our Octagon Perimeter Calculator! Now, you can calculate the perimeter of the Octagon quickly and with high precision. An Octagon is a two-dimensional closed shape with eight sides and eight angles. If all the sides of an Octagon are equal, it is called a regular Octagon. Whereas, if the sides of the Octagon are not equal, it is called an irregular Octagon.

The perimeter of the Octagon is the total distance around the shape; Hence, 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 Octagon Perimeter Calculator?

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

The variables in the Octagon Perimeter Calculator include

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

Perimeter (P)
The sum of lengths of the eight sides of the octagon.

What is an Octagon?

An Octagon is an eight-sided polygon. It is a closed two-dimensional figure. It consists of eight interior angles and eight exterior angles.

In general, for a regular Octagon, the sum of all the interior angles will equal 1080 degrees, and the sum of all exterior angles will equal 360 degrees.

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

1. Regular Octagon: if all eight sides of the Octagon are equal and all eight angles are equal, then the Octagon is called a regular Octagon.

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

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

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

Properties of an Octagon

1. An Octagon will have eight sides and eight angles.

2. The interior angles of an Octagon will sum up to 1080 degrees.

3. An Octagon has 20 diagonals.

How is the Perimeter of the Octagon Calculated?

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

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

Where,

a = Length of one side of the regular octagon.

Examples

Given an octagon with length of side equal to 12 cm. What is the perimeter of the octagon?

We can calculate the perimeter of the octagon by using the following formula

As you can see from the above calculation, the perimeter of the octagon is 96 cm.