Nonagon Perimeter Calculator

Introduction

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

The perimeter of the Nonagon 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 Nonagon Perimeter Calculator?

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

The variables in the Nonagon Perimeter Calculator include

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

Perimeter (P)
The sum of lengths of the nine sides of the nonagon.

What is a Nonagon?

A Nonagon is a nine-sided polygon. It is a closed two-dimensional figure with nine interior and nine exterior angles.

The sum of all the interior angles will equal 1260 degrees, and all exterior angles will equal 360 degrees.

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

1. Regular Nonagon: if all nine sides of the Nonagon are equal and all nine angles are equal, then the Nonagon is called a regular Nonagon.
2. Irregular Nonagon: if the sides and the angles of the Nonagon are not equal, then it is called an Irregular Nonagon.
3. Convex Nonagon: if all of the vertices of the Nonagon point outward, then it is called a Convex Nonagon.
4. Concave Nonagon: if at least one of the Nonagon’s vertex points inward, it is called a Concave Nonagon.

Properties of a Nonagon

1. A Nonagon will have nine sides and nine angles.
2. The interior angles of a Nonagon will sum up to 1260 degrees.
3. A Nonagon has 27 diagonals.
4. Each interior angle of a regular Nonagon is equal to 140 degrees.

How is the Perimeter of the Nonagon Calculated?

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

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

Where,

a = Length of one side of the regular nonagon.

Examples

Given a nonagon with the length of side equal to 10 cm. What is the perimeter of the nonagon?

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

As shown above, in the calculation the perimeter of the nonagon is 90 cm.