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Polygon Angle Sum Calculator

Calculate the sum of interior angles of a polygon quickly and easily. Enter the number of sides to find the total interior angle sum. Visualize polygons and understand the formula.

Enter Polygon Sides

Input the number of sides of the polygon to calculate the sum of its interior angles.

Formula

Result

Sum of Interior Angles:

Polygon Visualization

Sum of Interior Angles:

Understanding Polygon Angle Sum

The sum of the interior angles of a polygon is the total of all angles inside the polygon. This sum depends on the number of sides the polygon has.

For any polygon with n sides, the formula to calculate the sum of interior angles is:

For example, a triangle (3 sides) has an interior angle sum of (3-2) * 180° = 180°. A quadrilateral (4 sides) has an interior angle sum of (4-2) * 180° = 360°.

This calculator helps you quickly find the sum of interior angles for any polygon, making geometry calculations easier and more intuitive. Use it to check your homework, explore different polygons, or simply learn more about geometry!