Arc Length Calculator
Compute the arc length of a circle from radius and central angle.
Input Data
Radius
units
Central Angle Degrees
°
Results
Arc length using radians.
15.71units
Arc Length Degrees
90°
At a glance:Arc length s = r·θ with θ in radians; equivalently s = 2πr·(deg/360). Complements central-angle and circle calculators.
Formula
s = r·θ (θ in rad).
s = 2πr·(deg/360).
$$L = r \cdot \theta = 2\pi r \cdot \frac{\theta^\circ}{360^\circ}$$How to Use
- Enter radius and angle.
- The tool returns the arc length.
Case Studies
r=5, 90°
s = 2π·5·(90/360) = 2.5π ≈ 7.85.
FAQ
Radians or degrees?
Use s = r·θ with radians; degrees form divides by 360.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.