CALCULATOR
Simple Polygon Interior Angle Sum Calculator
Simple Polygon Interior Angle Sum Calculator — change the supplied values to calculate simple polygon interior angle sum.
Simple non-self-intersecting polygon with 3..10 sides; sum only, no equal individual-angle assumption.
Accepted inputs: Sides: choose 3 (3), 4 (4), 5 (5), 6 (6), 7 (7), 8 (8), 9 (9), 10 (10).
How the calculation works
S=180°(n−2)
A simple Euclidean polygon can be triangulated into n−2 triangles.
Worked example
With sides 5, simple polygon interior angle sum is 540 degrees.
Assumptions and limits
Simple non-self-intersecting polygon with 3..10 sides; sum only, no equal individual-angle assumption.