Math & StatisticsFormula-based · Runs in your browser

Regular Polygon Calculator

Calculate perimeter, area, apothem, circumradius, and angles from side count and side length.

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Inputs

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Result

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Calculated locally
Area
Perimeter
Apothem
Circumradius
Interior angle
Exterior angle

Saved locally, explained clearly

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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    area = ns² ÷ [4 tan(π/n)]

  2. 2

    Values entered

    Your values are placed into the calculation.

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  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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Data and privacy

What this calculator does

Calculate perimeter, area, apothem, circumradius, and angles from side count and side length.

How it works

The calculator evaluates area = ns² ÷ [4 tan(π/n)]. Inputs are checked before calculation, and invalid values such as zero denominators or out-of-range selections produce a clear error instead of a misleading result.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

2
  • ?sides= Number of sides n

    Number · Required · Default: 6

  • ?sideLength= Side length s

    Number · Required · Default: 5

Outputs

6
  • area Area

    Number · Primary output

  • perimeter Perimeter

    Number

  • apothem Apothem

    Number

  • circumradius Circumradius

    Number

  • interiorAngle Interior angle

    Number · Suffix: °

  • exteriorAngle Exterior angle

    Number · Suffix: °

Inputs and results

The inputs are Number of sides n, Side length s. Results include Area, Perimeter, Apothem, Circumradius, Interior angle, Exterior angle.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Results depend on the selected method and input assumptions. Displayed decimals may be rounded; retain appropriate precision for later calculations.