Math Calculators

Regular Polygon Circumradius Calculator

Calculate regular polygon circumradius with clear inputs, formulas, and supporting results.

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Regular Polygon Circumradius

Regular Polygon Circumradius Calculator

Circumradius
Circumdiameter
Central angle
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • Side length (units) — example: 8
  • Number of sides — example: 7

Results

  • Circumradius (units)
  • Circumdiameter (units)
  • Central angle (degrees)

Formula used

Circumradius = side ÷ [2 sin(π/n)].

How to Use the Regular Polygon Circumradius Calculator

Enter the requested values, confirm the units and assumptions, then select Calculate Regular Polygon Circumradius. The default inputs provide a complete working example.

Formula

Circumradius = side ÷ [2 sin(π/n)].

Understanding the Results

The primary answer appears first. Supporting outputs provide related quantities, conversions, timing, costs, ratios, or intermediate values. The calculator keeps extra precision internally before display rounding.

Accuracy Tips

  • Use measured values and consistent units.
  • Review rates, timing, allowances, efficiency, and category-specific assumptions.
  • Recalculate whenever a project condition changes.

Important Note

This calculator is an informational planning tool. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology