Arc Length Calculator

Calculate the length of a curved arc from a circle's radius and angle.

Calculate

Enter your values below.

Result

Arc length
0

Formula used

Arc length = 2πr × (angle ÷ 360)

Example: Radius 10, angle 90° → arc length ≈ 15.71.

How to use this calculator

  1. Enter Radius, Angle (degrees).
  2. Press Calculate to see your result instantly.

Frequently asked questions

What is arc length?

The distance measured along the curved part of a circle between two points.

What if the angle is 360°?

The arc length equals the full circumference.

Can I use radians?

This calculator expects degrees — convert radians by multiplying by 180/π first.

How does radius affect arc length?

Arc length scales directly with radius for the same angle.