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Radian Measure & Arc Calculator

Result

Arc length6.2832 cm
Angle (radians)1.256637
Sector area15.708 cm²
Chord length5.8779 cm
↗ Math

Radian Measure & Arc Calculator — free online calculator.

Formula

arc = r×θ(rad); sector area = ½r²θ; chord = 2r×sin(θ/2)
  • Radian Measure & Arc Calculator calculates its result from Rate (decimal), Theta Rad, Angle θ. It uses the formula arc = r×θ(rad); sector area = ½r²θ; chord = 2r×sin(θ/2). Change any input to recalculate the result instantly.
  • The main inputs are Central angle, Radius. 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: Radian Measure & Arc

Inputs
  • Central angle: 72
  • Radius: 5

Using Rate (decimal) = 0.05, Theta Rad = 3, Angle θ = 4, the calculated result is 0.0909297427.

Sample result: Calculating…

Frequently asked questions

What does the Radian Measure & Arc calculate?

Radian Measure & Arc Calculator — free online calculator.

Which values should I enter?

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

What formula does this calculator use?

The calculator uses the following relationship: arc = r×θ(rad); sector area = ½r²θ; chord = 2r×sin(θ/2).

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