Perimeter of a Nonagon

The perimeter of a polygon is the total length around its edges. To determine the perimeter of a nonagon, which is a polygon with nine sides, it required to know the length of each of its 9 sides. The perimeter is found by adding up the lengths of all the sides. In the case of a regular nonagon, where all sides are of equal length, you can find the perimeter by multiplying the length of one side by 9. This can be expressed as:

Perimeter of a nonagon = Sum of all its sides

Perimeter of a regular nonagon = 9 times the length of one side (denoted as ‘a’ for the nonagon)

Example: What is the total length of the sides of a nonagon if each side measures 4 units?

Solution:

As we know the formula is:

Perimeter of Nonagon = 9 × Side length

Perimeter = 9 × 4 = 36 units

What is a Nonagon?

Nonagon, a polygon with nine sides and nine angles, is a geometric shape that captures mathematical intrigue and visual diversity. Whether regular or irregular, convex or concave, the nonagon takes on various forms based on the equality of its sides and the measurements of its interior angles.

In this article, we will learn the meaning and definitions, types, properties, area and perimeter of a nonagon, and angles of a nonagon, along with some solved examples.

Table of Content

  • Nonagon Shape
  • Sides of Nonagon
  • Types of Nonagon
  • Regular Nonagon
  • Irregular Nonagon
  • Nonagon Angles
  • How Many Sides are in a Nonagon?
  • Perimeter of a Nonagon
  • Area of Nonagon
  • How to Draw a Nonagon?
  • Formulas of Nonagon
  • Examples on Nonagon

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Nonagon Shape

A nonagon shape is a polygon with nine sides. It is formed by connecting nine straight line segments, also known as sides, between nine corners or vertices. The nonagon can take different forms, categorized as regular or irregular, convex or concave, based on the equality of its sides and the measurements of its interior angles....

Sides of Nonagon

A nonagon has nine sides. The sides of a nonagon are the straight lines that connect the corners of the shape. These nine sides can be of the same length or different lengths. A nonagon is a geometric figure with 9 sides, and it can take different forms such as regular, irregular, convex, or concave, based on the lengths of its sides and the angles inside the shape....

Types of Nonagon

A nonagon is divided into 4 different types based on their sides, angles, and vertices....

Regular Nonagon

A regular nonagon is a polygon with nine equal sides and nine equal angles. In simple terms, it’s a shape with nine straight sides that are all the same length and nine angles that are all the same size. This makes a regular nonagon a symmetrical and evenly proportioned geometric figure. Each interior angle of a regular nonagon measures 140 degrees, and the sum of all its interior angles is always 1260 degrees....

Irregular Nonagon

An irregular nonagon is a polygon with nine sides and nine angles, but unlike a regular nonagon where all sides and angles are equal, in an irregular nonagon, the sides and angles have different lengths and measures....

Convex Nonagon

A convex nonagon is a polygon with nine sides, and it has the characteristic that all its interior angles are less than 180 degrees. In simpler terms, a convex nonagon is a shape with nine straight sides that don’t curve inward....

Concave Nonagon

A concave nonagon is a polygon with nine sides and nine angles, and it has at least one interior angle that measures more than 180 degrees. In simpler terms, it has a “caved-in” or indented part, making the shape somewhat hollow or concave....

Nonagon Angles

A nonagon consists of nine angles. It has both interior and exterior angles. The interior angles are the angles inside the nonagon, and there are nine of them. Similarly, there are nine corresponding exterior angles....

Diagonals of a Nonagon

A diagonal is a line segment that connects two vertices of a polygon but is not next to them. In a nonagon, which is a polygon with nine sides, there are 27 diagonals. To figure this out, you can use a formula:...

How Many Sides are in a Nonagon?

We know that, Nonagon is polygon with 9 sides. Thus, there are 9 sides in a nonagon....

Perimeter of a Nonagon

The perimeter of a polygon is the total length around its edges. To determine the perimeter of a nonagon, which is a polygon with nine sides, it required to know the length of each of its 9 sides. The perimeter is found by adding up the lengths of all the sides. In the case of a regular nonagon, where all sides are of equal length, you can find the perimeter by multiplying the length of one side by 9. This can be expressed as:...

Area of Nonagon

The area of a nonagon, a polygon with nine sides and nine angles, represents the space it encloses. This measurement is expressed in square units, like square meters or square feet....

How to Draw a Nonagon?

Follow the given below steps to create a nonagon...

Formulas of Nonagon

The basic formulas of the Nonagon are,...

Day-To-Day Examples of Nonagon

Some day-to-day Examples where we see Nonagon shape are:...

Examples on Nonagon

Example 1: The measure of an interior angle in a regular nonagon is 155∘. Determine the measure of one exterior angle, and find the length of each side....

Practice Questions of Nonagon

Q1: The side length of a regular nonagon is 8 cm. Calculate the perimeter of the nonagon....

Nonagon-FAQs

How many side are in a Nonagon?...

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