Arc Length Calculator
Radius
Angle
Arc length is the distance along the curved line of a circle between two points. It depends on the radius and the central angle subtended by the arc.
- 1Arc length = r × θ (where θ is in radians)
- 2Arc length = (θ/360) × 2πr (where θ is in degrees)
- 3Sector area = ½r²θ (radians)
- 4Convert degrees to radians: θ_rad = θ_deg × π/180
r = 5, θ = 90°=Arc length = 5 × (π/2) ≈ 7.854
r = 10, θ = 2 radians=Arc length = 10 × 2 = 20
| Angle (°) | Radians | Arc Length |
|---|---|---|
| 30 | 0.524 | 5.24 |
| 45 | 0.785 | 7.85 |
| 90 | 1.571 | 15.71 |
| 180 | 3.142 | 31.42 |
| 360 | 6.283 | 62.83 |
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