Interior Angle of Regular Polygon Calculator

Formula

The formula to calculate the Interior Angle of Regular Polygon (∠Interior) is:

\[ \angle \text{Interior} = \frac{(NS - 2) \cdot \pi}{NS} \]

Where:

\(\angle \text{Interior}\) is the Interior Angle of Regular Polygon (measured in Radians).
\(NS\) is the Number of Sides of Regular Polygon.
\(\pi\) is Archimedes' constant, approximately \(3.14159265358979323846264338327950288\).

Definition

The Interior Angle of Regular Polygon is the angle between adjacent sides of a polygon.

The Number of Sides of Regular Polygon denotes the total number of sides of the Polygon. The number of sides is used to classify the types of polygons.

How to calculate Interior Angle of Regular Polygon

Let's assume the following values:

Number of Sides (NS) = 8

Using the formula:

\[ \angle \text{Interior} = \frac{(8 - 2) \cdot \pi}{8} \]

Evaluating:

\[ \angle \text{Interior} \approx 2.35619449019234 \]

The Interior Angle of Regular Polygon is approximately 2.35619449019234 Radians.

Conversion Chart

Number of Sides (NS)	Interior Angle (∠Interior) (Radians)
6	2.094395102393
8	2.356194490192
10	2.513274122872