Arc Length Calculator

Use our free arc length calculator to find the length of a circular arc.

Math

Radius (r)

Central Angle (θ)

Formula

Arc length is the distance along the curved line of a circle segment.

L = (θ/360) × 2πr

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter radius.
2Enter angle in degrees.
3Click Calculate.

Examples

r=8, θ=45°

1.L=(45/360)×16π=2π≈6.28 units.

Result: 6.2832 units

r=10, θ=90°

1.L=(90/360)×20π=5π≈15.71 units.

Result: 15.7080 units

Frequently Asked Questions

L = (θ/360) × 2πr.

L = θr, where θ is in radians.

L = 2πr (full circumference).

Any angle > 0 gives an arc.

Engineering, design, curved path distances.

Related Calculators

Sector Calculator Chord Length Calculator Circle Calculator Ellipse Calculator Percentage Calculator Basic Calculator

CalculateMe Team

Last updated: 2026-07-14

Arc Length Calculator

Formula

How It Works

Examples

r=8, θ=45°

r=10, θ=90°

Frequently Asked Questions

Arc length formula?

In radians?

If θ=360°?

Minimum angle?

Real uses?

Related Calculators

Arc Length Calculator

Formula

How It Works

Examples

r=8, θ=45°

r=10, θ=90°

Frequently Asked Questions

Arc length formula?

In radians?

If θ=360°?

Minimum angle?

Real uses?

Related Calculators