Interior Angle Sum Calculator
Calculate the sum of interior angles of any polygon with this easy-to-use online tool. Just enter the number of sides and get instant results with visualization.
Calculate Interior Angle Sum
Enter the number of sides of your polygon to calculate the sum of its interior angles.
Polygon Visualization
Polygon with sides.
Formula for Interior Angle Sum
The sum of the interior angles of a polygon is given by the formula:
Where n is the number of sides.
For a polygon with sides, the sum of the interior angles is: °.
Learn About Interior Angles of Polygons
In geometry, a polygon is a closed shape with straight sides. The interior angles are the angles inside the polygon at each vertex. The sum of these angles depends on the number of sides the polygon has. For example, a triangle (3 sides) has an interior angle sum of 180°, and a quadrilateral (4 sides) has 360°. This calculator helps you find this sum for any polygon. The formula (n-2) × 180° is derived by dividing the polygon into triangles. Each triangle contributes 180° to the total sum.
- Triangle (3 sides): 180°
- Quadrilateral (4 sides): 360°
- Pentagon (5 sides): 540°
- Hexagon (6 sides): 720°
Source: Wikipedia - Interior Angle