Exterior Angle Calculator

Formula

To calculate the exterior angle of a polygon:

\[ A = \frac{360}{N} \]

Where:

\(\text{A}\) is the exterior angle of the polygon
\(\text{N}\) is the number of sides of the polygon

What is an Exterior Angle?

An exterior angle is formed between a side of a polygon and the extension of an adjacent side. In a regular polygon, all exterior angles are equal and can be calculated using the formula provided. The sum of all exterior angles of any polygon is always 360 degrees.

Example Calculation 1

Let's assume a polygon with 6 sides (hexagon):

Using the formula:

\[ A = \frac{360}{6} = 60° \]

Exterior Angle (A): 60°

Example Calculation 2

Let's assume a polygon with 8 sides (octagon):

Using the formula:

\[ A = \frac{360}{8} = 45° \]

Exterior Angle (A): 45°