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Regular Polygon Interior Angle — result sheet
Calculate one interior angle of a regular polygon from its whole-number count of sides.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Each interior angle of a regular n-gon is ((n - 2) x 180 degrees) / n.
A regular polygon has equal sides and equal interior angles. Its interior-angle sum is (n-2) times 180 degrees, so dividing by n gives one angle.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of sides n — sides; Whole-number count of equal sides, at least three.; minimum 3; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Number of sides n | 6 |
A regular hexagon has angle ((6 - 2) x 180) / 6 = 120 degrees.
Assumptions and limits
- The side count is a whole number of at least three and the polygon is regular, with equal sides and equal interior angles.
- The output is the internal angle in degrees, not the exterior angle, angle sum, side length, perimeter, or area.
- The polygon is treated as a simple planar figure; self-intersecting star paths and spherical polygons are outside the model.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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