Arc Length Calculator
Length of a circular arc.
Enter 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.
s = r × θ (θ in radians)
How to use the Arc Length Calculator
- 1Enter the circle's radius.
- 2Enter the central angle.
- 3Pick degrees or radians.
Worked example
Using the values the calculator loads with:
Inputs
- Radius8
- Central angle72
- Angle unitDegrees
Results
- Arc length10.0531
- Angle in radians1.25664
- Sector area40.2124
- Chord length9.4046
- Full circumference50.2655
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 James Whitfield · How we build and test calculators
- Report an error
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.