Arc Length Calculator
Calculate arc length instantly using radius and central angle. Supports both degrees and radians with real-time results.
Input Values
010
Arc Diagram
Radius (r)
Arc Length (s)
Angle (θ)
Results
Arc Length (s)
0
s = rθ
Radius (r)
5.0000
input
Angle (degrees)
0°
θ°
Angle (radians)
0 rad
θ rad
Arc Length Formulas
s = rθ
Arc length (radians)
s = rθ° × π/180
Arc length (degrees)
θ rad = θ° × π/180
Degrees to radians
About Arc Length
Arc length is the distance along the curved line forming the arc. It is a portion of the circumference of a circle, determined by the radius and the central angle that subtends the arc.
Key Concepts
- Arc: A portion of a circle's circumference
- Central Angle: Angle at the center of the circle
- Radians: Angle where arc length equals radius
- Full circle: 360° = 2π radians
How to Use
- Enter the radius of your circle
- Enter the central angle
- Toggle between degrees and radians
- View the arc length result instantly
Common Examples
- A 90° arc (quarter circle) with radius 10: s = 10 × π/2 ≈ 15.71
- A 180° arc (semicircle) with radius 5: s = 5 × π ≈ 15.71
- A 360° arc (full circle) equals the circumference: s = 2πr