Arc Length Calculator (Degrees)

Find the length of a curved arc given the circle radius and the angle in degrees.

How to use

  1. Enter your values in the fields above.
  2. Press Calculate to see your result instantly.
  3. Use the Share button to copy a link to your result.

About this calculator

Arc length measures the distance along a curved section of a circle's edge rather than a straight line across it, and it scales with the same fraction of the full circumference that the arc's angle represents. A full 360-degree arc is just the circle's entire circumference.

Machinists and metalworkers use arc length when cutting curved stock or laying out a rounded edge, and civil engineers use it for curved road segments and railway track transitions where the exact curve length matters for material and grading estimates. It also comes up in clock and dial design, where markings are spaced along an arc rather than a straight scale.

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