How Many Diagonals Does a Hexagon Have

# How Many Diagonals Does a Hexagon Have

Edited By Team Careers360 | Updated on Mar 24, 2023 04:42 PM IST

## Introduction

A closed figure made up of lines is called a polygon. We can classify the polygon on the basis of the number of sides. The minimum number of sides of the polygon is three. A polygon has sides, faces, edges, and vertices. All polygons with different numbers of sides have different properties.

## Hexagon

A two-dimensional closed figure with six sides is called a hexagon. The honeycomb is the next example of the nature of the hexagon shape. A hexagon has 6 sides, 6 vertices, 6 angles, and 6 faces. By adding six sides to the hexagon we can find the perimeter of the hexagon.

## Types of Hexagon

The hexagon can be classified based on sides and on the basis of angles.

Hexagon on the basis of sides;

• Irregular Hexagon

A hexagon with irregular sides is called an irregular hexagon. All angles and sides of irregular hexagons are not the same.

• Regular Hexagon

A hexagon with regular sides is called a regular hexagon. All angles and sides of a regular hexagon are the same. Each angle is 60°.

Hexagon based on the side;

• Convex Hexagon

A hexagon with vertices pointing in an outward direction is called a convex hexagon. All interior angles of the convex hexagon are less than 180°.

• Concave Hexagon

A hexagon with at least one vertex pointing inward is called a concave hexagon. At least one e of the concave hexagon is more than 180°.

## 3. Diagonals

The opposite of the polygon is connected by the line called the diagonal. We can also say diagonals connect two non-adjacent sides of the polygons.

Diagnosis is the root word for the diagonal. Diagnosis is a Greek word that means angle to angle.

There is a common formula for finding the diagonal of all types of the polygon.

The formula for finding the diagonal is;

(n2-3n)/2

n is the number of the sides of the polygon.

## Diagonal of the Hexagon

Hexagon has a six sides, so n=6

\begin{aligned}

& (n^{^{2}}-3\times n)\div 2

\\&=(6^{^{2}}-3\times 6)\div 2

\\&=9

\end{aligned}

1. How many edges does the hexagon have?

Hexagons have 6 edges.

2. What is the total sum of all the angles of the hexagon?

The sum of all the angles of the hexagon is 720°.

3. What is the line of symmetry of the regular hexagon?

Regular hexagon has 6 lines of symmetry.

4. Write the two properties of the pentagon.

The two properties of the hexagon;

1. The Pentagon has five sides.

2. The sum of all angles of the pentagon is 540°.

5. Name the polygon with eight sides.

Octagon has eight sides.

Get answers from students and experts