Arc Length Calculator
Length of a circular arc.
Reviewed by the Calculation Machine team · How we check our maths
Your values
ⓘ Live results
Results
- Arc length
- 10.0531
- Angle in radians
- 1.25664
- Sector area
- 40.2124
- Chord length
- 9.4046
- Full circumference
- 50.2655
Quick answer
Arc length equals the radius times the central angle in radians.
The formula
s = r × θ (θ in radians)
Worked example
Worked example
Using the values the calculator loads with.
Inputs
- Radius8
- Central angle72
- Angle unitDegrees
Result
- Arc length10.0531
- Angle in radians1.25664
- Sector area40.2124
- Chord length9.4046
- Full circumference50.2655
How to use the Arc Length Calculator
- 1Enter the circle's radius.
- 2Enter the central angle.
- 3Pick degrees or radians.
Frequently asked questions
How do I convert degrees to radians?
Multiply by π/180.
What if the angle is a full circle?
The arc length becomes the circumference, 2πr.
About this calculator
- Built and reviewed by the Calculation Machine team · How we build and test calculators
- Report an error