Arc Length Calculator

By Anowar

Reviewed by Jasmine

To find the arc length, enter the value, choose degrees or radians, enter the radius, and select the unit.

Enter the values to know the arc length result.

Diagram of a circle sector A visual representation of a circle's sector showing radius, central angle, and arc length. θ r L

Arc Length

What is an Arc?

An arc is a part of the circumference of a circle. It represents the curved path between two points on the edge of the circle.

  • Arcs can be short, i.e. less than 180°, or long, i.e. greater than 180°.
  • The length of an arc depends on the radius of the circle and the angle subtended by the arc at the centre.
  • It is measured in linear units like centimeters, meters, inches and more.

Arc Length Formula

The arc length (L) of a circle is calculated using its radius (r) and the central angle (θ).

If Angle in Radians:

L = θ (in radians) × r

  • The calculator converts degrees to radians before applying this formula.
  • Conversion: Radians = Degrees × (π / 180)

If Angle in Degrees:

L = (θ (in degrees) / 360) × 2 × π × r

Anowar Hossain

Anowar Hossain

Web Developer

With over 10 years of experience in mathematical applications and web development, I create user-friendly tools that simplify everyday calculations. My expertise in accurate calculators that accessible to everyone.

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