Maths & numbers
Arc length calculator
Translate a circle’s central angle into an arc length.
A clear answer. Here’s how.
Arc length = radius × angle in radians. Radians = degrees × π/180. The fraction of a complete circumference is angle/360. Uses the chosen angle from 0 through 360 degrees.
See a worked example
Worked example
A fixed demonstration, separate from the values you enter above.
- Radius
- 5
- Central angle (degrees)
- 60
Example result
- Arc length
- 5.23598775598
- Radians
- 1.0471975512
- Fraction of circle
- 0.166666666667