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:
Number of diagonals = 1/2 × n × (n −3)
Where n is the number of sides of the polygon.
For a nonagon (n=9), you substitute the value into the formula: Number of diagonals = 1/2 × 9 × (9−3)
= 1/2 × 9 × 6
= 27
∴ A nonagon has 27 diagonals.
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