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# Arc Length Calculator

Free online tool that helps you calculate the length of an arc of a circle, given its radius and the angle of the arc in degrees or radians.

Arc length (s)
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Chord length
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Sector area
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## What is arc length?

Arc length is the distance along the curved line or arc that makes up a portion of the circumference of a circle. In geometry, an arc is defined as a portion of the circumference of a circle. The arc length is the distance along the arc between two endpoints.

The length of an arc depends on the radius of the circle and the measure of the central angle that subtends the arc. The central angle is the angle formed by two radii of the circle, with the vertex at the center of the circle.

To calculate the length of an arc, you can use the formula:

Arc length = (central angle / 360) x (2 x pi x radius)

where the central angle is measured in degrees, pi is a mathematical constant approximately equal to 3.14, and the radius is the distance from the center of the circle to any point on the circumference.

Arc length is used in various fields, such as geometry, trigonometry, physics, and engineering, to determine the distance along a curve or arc.