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Circle Sector Calculator

cm
degrees

Result

Sector Area33.510322 cm²
Arc Length8.37758 cm
Chord Length8 cm
Sector Perimeter24.37758 cm
↗ Math

Circle Sector Calculator — free online calculator.

Formula

Arc length = r×θ; Area = r²θ/2; Chord = 2r·sin(θ/2); Perimeter = arc + 2r (where θ is in radians)
  • Circle Sector Calculator calculates its result from Rate (decimal), Angle θ, Arc, Where Theta Is In Radians. It uses the formula Arc length = r×θ; Area = r²θ/2; Chord = 2r·sin(θ/2); Perimeter = arc + 2r (where θ is in radians). Change any input to recalculate the result instantly.
  • The main inputs are Radius, Central Angle. 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: Circle Sector

Inputs
  • Radius: 8 cm
  • Central Angle: 60 degrees

Using Rate (decimal) = 0.05, Angle θ = 3, Arc = 4, Where Theta Is In Radians = 13, the calculated result is 5.3.

Sample result: Calculating…

Frequently asked questions

What does the Circle Sector calculate?

Circle Sector Calculator — free online calculator.

Which values should I enter?

Enter Radius, Central Angle using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Arc length = r×θ; Area = r²θ/2; Chord = 2r·sin(θ/2); Perimeter = arc + 2r (where θ is in radians).

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 10, 2026