Interior Angle of Regular Polygon given Sum of Interior Angles Calculator

Calculate Interior Angle





Formula

The formula to calculate the Interior Angle of Regular Polygon given Sum of Interior Angles is:

\[ \angle_{Interior} = \frac{\sum \angle_{Interior}}{NS} \]

Definition

Interior Angle of Regular Polygon is the angle between adjacent sides of a polygon. Sum of Interior Angles of Regular Polygon is the sum of all the interior angles of a polygon. 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.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \angle_{Interior} = \frac{18.8495559215352}{8} = 2.3561944901919 \]

The Interior Angle is 2.3561944901919 Radians.

Conversion Chart

Number of Sides Interior Angle (Radians)
7 2.692793703076457
7.5 2.513274122871360
8 2.356194490191900
8.5 2.217594814298259
9 2.094395102392800