Regular Polygon Calculator

Compute area and perimeter for a regular polygon.

Scratchpad (not saved)

What This Calculator Does

Compute area and perimeter for a regular polygon.

It combines Number of Sides, Side Length to estimate Area, Perimeter, Interior Angle.

Formula & Method

Core equations: Regular polygon perimeter P=ns; area A=\frac{1}{4}ns^2\cot(\pi/n).

Notation used in the formulas: R = Area; x_{1} = Number of Sides; x_{2} = Side Length.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.

Inputs Used

  • Number of Sides: Used directly in the calculation.
  • Side Length: Used directly in the calculation.

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