Interior Angle Of A Regular Polygon Calculator

Use this Interior Angle of a Regular Polygon Calculator to quickly determine each angle of a regular polygon with the regular polygon interior angle formula and calculate interior angle of polygon.

Formula

Interior Angle = ((n - 2) × 180) / n

This regular polygon interior angle formula allows you to calculate interior angle of polygon for any regular polygon.

Popular Examples

Number of Sides (n)Interior Angle (°)
360.000000
490.000000
5108.000000
6120.000000
8135.000000
12150.000000

How To Calculate Manually

To manually calculate interior angle of polygon:

1. Take the number of sides (n).
2. Subtract 2.
3. Multiply the result by 180.
4. Divide by n to get each interior angle.

About This Calculator

This Interior Angle of a Regular Polygon Calculator provides instant results with up to six decimal places using the regular polygon interior angle formula.

It is useful for students, architects, engineers, and anyone studying interior angles of polygons.

Interesting Facts

• The sum of interior angles of a polygon is always (n-2)×180°.
• Interior angles of a regular polygon are all equal.
• Polygons with more sides approximate a circle.
• Regular polygons are widely used in tiling and architecture.
• Each interior angle increases as the number of sides increases.