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MATH / PLANE GEOMETRY

Regular Polygon Interior Angle Calculator

Calculate one interior angle and the interior-angle sum of a regular polygon. Inspect the equation, substituted values, result, and interpretation limits in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate one interior angle and the interior-angle sum of a regular polygon. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

theta=(n-2)180/n

What you provide

What you provide

  • Number of sides, using the same scenario as the other inputs
  • The stated equation, unit convention, and modelling assumption must fit your intended use

What you receive

What you receive

  • One interior angle in deg from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Coordinates and lengths use one consistent Cartesian scale; rounding is applied only to the displayed result.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors