How to use the polygon interior and exterior angles calculator
Find the interior angle, exterior angle and angle sum of a regular polygon from its number of sides. Enter number of sides in the field above; the interior angle, exterior angle, sum of interior angles are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “interior angle of polygon”, “exterior angle”, “sum of interior angles”, “calculate polygon interior and exterior angles”, “find interior angle”.
Formula
Variables
- n — Number of sides
Worked example
With number of sides = 8, the calculator gives interior angle ≈ 135 °; exterior angle ≈ 45 °; sum of interior angles ≈ 1,080 °.
Frequently asked questions
What is the polygon interior and exterior angles calculator used for?
Find the interior angle, exterior angle and angle sum of a regular polygon from its number of sides. It helps with questions such as “interior angle of polygon”, “exterior angle”, “sum of interior angles”.
What is the formula for the polygon interior and exterior angles calculation?
Interior angle (°) = (n-2) × 180 / n. Exterior angle (°) = 360 / n. Sum of interior angles (°) = (n-2) × 180. Here n is number of sides.
What inputs do I need for the polygon interior and exterior angles calculator?
You need number of sides. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the polygon interior and exterior angles calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the polygon interior and exterior angles result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.