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Circle Segment Calculator

deg

Result

Calculated result 2.2646518427 Based on the values entered.
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Circle Segment Calculator — free online calculator.

Formula

(theta_deg/360)*pi*r^2-0.5*r^2*sin(theta_deg*pi/180)
  • Circle Segment Calculator calculates its result from Radius, Central angle (deg). It uses the formula (theta_deg/360)*pi*r^2-0.5*r^2*sin(theta_deg*pi/180). 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 Segment

Inputs
  • Radius: 5
  • Central angle: 60 deg

Using Radius = 5, Central angle (deg) = 60, the calculated result is 2.2646518427.

Sample result: Calculating…

Frequently asked questions

What does the Circle Segment calculate?

Circle Segment 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: (theta_deg/360)*pi*r^2-0.5*r^2*sin(theta_deg*pi/180).

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