Arc Length Calculator

Find the arc length of a circle.

Arc length 7.854

Formula: arc = (angle ÷ 360) × 2πr

Step-by-step with your numbers:
1. Values used:
2. Radius = 5
3. Angle = 90 degrees
4.
5. Arc length = 7.854
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The length of a portion of a circle's circumference.

The math behind it

arc = (central angle ÷ 360) × circumference = (angle ÷ 360) × 2πr.

Worked example

r 5, 90° → 7.85.

FAQ

Radians?

In radians, arc = radius × angle directly.