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🌙 Arc Length Calculator

Calculate the length of a circular arc from the radius and the central angle it subtends.

1
cm
2
degrees

What this calculator finds

An arc length is the distance along the curved edge of a circle between two points, defined by the circle’s radius and the central angle between those points.

The formula

Arc length is s = rθ, where r is the radius and θ is the central angle measured in radians. Since angles are often given in degrees, this calculator first converts degrees to radians using θ = degrees × (π/180). It also reports the area of the pie-slice-shaped sector, A = ½r²θ.

This is useful for geometry problems, engineering layouts, and design work involving curves. This tool is for general educational and planning purposes.

Last reviewed August 2026