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Regular Polygon Circumradius Calculator

Regular Polygon Circumradius is intended for the specific geometry task described by its name. Enter polygon sides, side length m to calculate a result expressed in m. The formula works entirely in your browser and needs no account or external API. Valid for a regular polygon with at least three sides. This estimate is useful for comparing scenarios when the supplied measurements follow the stated assumptions.

How to use this calculator

  1. Measure polygon sides in the units indicated on the input label.
  2. Enter Side length m.
  3. Read the m result, then compare alternative inputs to evaluate your own situation.

Regular Polygon Circumradius formula

side/(2*Math.sin(Math.PI/sides)) (m).

  • The expression side/(2*Math.sin(Math.PI/sides)) combines Polygon sides, Side length m. Follow the units on each input: the answer is expressed in m.
  • Valid for a regular polygon with at least three sides.

Worked examples

Worked example: Regular Polygon Circumradius

Use these sample measurements: Polygon sides = 7, Side length m = 3.

Compute side/(2*Math.sin(Math.PI/sides)).

Using the example inputs, the result is 3.457147 m. Use this value to verify the formula before changing the measurements.

Understanding the result

Interpret the output as m; it is not a measurement taken directly from a physical system.

Valid for a regular polygon with at least three sides.

Important notes

Valid for a regular polygon with at least three sides.

Review the input units, any required legal or engineering rules, and unusual edge cases before acting on this estimate.

Frequently asked questions

What does Regular Polygon Circumradius calculate?

It evaluates side/(2*Math.sin(Math.PI/sides)) to produce m from the measurements you enter. For the example values shown, the result is 3.457147 m.

Which assumptions matter most?

Valid for a regular polygon with at least three sides.

Can I compare two scenarios?

Yes. Enter another set of measurements in the same units and compare the two outputs.

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Related explanations

Learn the method behind the number or compare the terminology before using the calculator.

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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.