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CIRCLE GEOMETRY / CURVED DISTANCE

Arc Length Calculator

Calculate circular arc length from radius and a central angle from 0 through 360 degrees, with radians and circle share.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

The angle fraction of a 360-degree turn is multiplied by the full circumference at the entered radius.

Calculation path

Arc length = 2 pi r x angle / 360.

What you provide

What you provide

  • Circle radius: Distance from center to the arc.
  • Central angle: Angle subtended by the arc from 0 through 360 degrees.

What you receive

What you receive

  • Arc length
  • Full circumference
  • Angle in radians and percentage of circle

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The angle is interpreted in degrees and the arc follows a perfect circle at constant radius.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.