Interior Angle Calculator

Interior Angle Calculator calculator can be used to calculate the interior angles of a regular polygon based on the number of sides.

Input Parameters

Calculation Results

Calculation Formula

Interior Angle = (n - 2) × 180° / n

Where:
n = number of sides of the polygon

Result

Interior Angle Calculator Calculator Usage Guide

Learn how to use the Interior Angle Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the number of sides for the regular polygon in the "Number of Sides" field (minimum 3).
  2. Click the "Calculate" button to compute the interior angle.
  3. The result will be displayed in the "Interior Angle" field.
  4. Click "Reset" to clear all inputs and start over.

Understanding Interior Angles

The interior angle of a regular polygon is the angle inside the polygon at each vertex. A regular polygon has all sides of equal length and all interior angles of equal measure.

Formula Explanation

The formula used to calculate the interior angle of a regular polygon is:

Interior Angle = (n - 2) × 180° / n

Where n is the number of sides of the polygon.

Examples

  • Triangle (3 sides): Interior angle = (3 - 2) × 180° / 3 = 60°
  • Square (4 sides): Interior angle = (4 - 2) × 180° / 4 = 90°
  • Pentagon (5 sides): Interior angle = (5 - 2) × 180° / 5 = 108°
  • Hexagon (6 sides): Interior angle = (6 - 2) × 180° / 6 = 120°