Metric Unit Calculator
Math calculator

Regular Geometric Shape Area Calculator

Calculate the area of a regular polygon from its number of sides and side length.

Regular polygon area: -
Visual representation

Regular Geometric Shape Area Calculator diagram

The diagram updates with your entries and is illustrative, not necessarily drawn to scale.

Calculation explained

How this result was calculated

The formula, your substituted values, and the evaluated result are shown below.

The polygon must be regular, have at least three sides, and use a positive side length. The result uses square units.
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How the Regular Geometric Shape Area Calculator works

Calculate the area of a regular polygon from its number of sides and side length.

Formula

sides × sideLength × sideLength ÷ (4 × tan(π ÷ sides))

How to use this calculator

  1. Enter every measurement using one consistent length or angle unit.
  2. Select Calculate to evaluate the formula.
  3. Review the substituted values in the calculation explanation.

Interpretation and limitations

The polygon must be regular, have at least three sides, and use a positive side length. The result uses square units. Decimal answers are rounded for display; retain additional precision for subsequent calculations.

Geometry collection

This calculator belongs to the Plane Geometry section of the Math calculator library.

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