Arc Length Calculator
Compute the arc length of a circle given its radius and central angle in degrees.
Inputs
units
°
Arc Length
15.7080units
Step by step
Convert angle to radians
θ_rad = 90 × π/180 = 1.570796
Arc length
L = 10 × 1.570796
= 15.7080
How it works
Arc length is the distance along the curved part of a circle. It equals the radius times the central angle in radians.
Formula
Arc Length
L = r × θ (θ in radians)
- r
- Radius
- θ
- Central angle in radians
Frequently Asked Questions
How do I convert degrees to radians?
Multiply degrees by π/180. For example, 90° = π/2 radians.
What is the arc length for a full circle?
It equals the circumference: 2πr (360° gives θ = 2π).