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Regular Polygon Calculator

Result

Area64.9519052838
Inradius4.3301270189
Circumradius5
Interior angle120
↗ Math

Regular Polygon Calculator — free online calculator.

Formula

Area = n·s²/(4 tan(π/n)); inradius = s/(2 tan(π/n)); circumradius = s/(2 sin(π/n)); interior angle = (n−2)·180/n.
  • Regular Polygon Calculator calculates its result from Number of sides n, Side length s. It uses the formula Area = n·s²/(4 tan(π/n)); inradius = s/(2 tan(π/n)); circumradius = s/(2 sin(π/n)); interior angle = (n−2)·180/n.. Change any input to recalculate the result instantly.
  • The main inputs are Number of sides n, Side length s. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Regular Polygon

Inputs
  • Number of sides n: 6
  • Side length s: 5

Using Number of sides n = 6, Side length s = 5, the calculated result is Area: 64.9519052838 | Inradius: 4.3301270189 | Circumradius: 5 | Interior angle: 120.

Sample result: Calculating…

Frequently asked questions

What does the Regular Polygon calculate?

Regular Polygon Calculator — free online calculator.

Which values should I enter?

Enter Number of sides n, Side length s using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Area = n·s²/(4 tan(π/n)); inradius = s/(2 tan(π/n)); circumradius = s/(2 sin(π/n)); interior angle = (n−2)·180/n..

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026