How to use this calculator

Arc length is the same fraction of a circle’s circumference as the central angle is of 360°.

The method

Arc length = angle/360 × 2πr

Enter your values in the labeled fields and choose Calculate. The result panel shows the answer and supporting values when useful.

WORKED EXAMPLE INPUT

Radius: 10, Central angle (degrees): 60

Select Calculate to evaluate these example values.

Scope and limitations

Angle is entered in degrees.

Common questions

Can I use different units?

Use consistent units unless this page is a unit converter. The result follows the units implied by the inputs.

Are results exact?

Displayed values may be rounded. Keep extra precision for important follow-up calculations.

Methods & verification

Formulas use standard mathematical definitions and fixed unit factors where applicable. See our methodology for numerical conventions, rounding, privacy, and limitations.