Arc Length of a Circle
Enter the radius and central angle to compute the length of a circular arc. The result uses the same units as the radius.
CalcSimpler Examples
- r = 5, angle = 60° ⇒ 5.24 units
- r = 12 cm, angle = 90° ⇒ 18.85 cm
- r = 3 m, angle = 45° ⇒ 2.36 m
FAQ
What angle units are used?
Degrees; convert from radians if necessary.
Can the angle exceed 360°?
Yes. Angles over 360° represent multiple revolutions.
Do radius units matter?
Use any consistent length unit; the result uses that same unit.
Can I input the angle in radians?
Yes. Convert radians to degrees first or adapt the formula.
Additional Information
- Formula: L = 2πr × (θ ÷ 360).
- Any length unit works as long as you use the same unit for radius and result.
- A 360° angle returns the full circumference (2πr).
CalcSimpler