Radius And Angle To Arc Length Converter

Calculate the arc length from a radius and angle. The result uses the same length unit as the radius.






Conversion Table (radius = 2)

RadiusAngleUnitArc Length
20degrees0.000000
290degrees3.141593
2180degrees6.283185
21.570796326794897radians3.141593
2100gradians3.141593
20.25turns3.141593

How This Converter Works

Calculates circular arc length from a positive radius and a nonnegative central angle. The angle can be degrees, radians, gradians, or turns; there is no maximum angle. Radius and arc length share a length unit. Blank fields clear output, invalid values show Invalid input, and results are fixed to six decimals.

Formula or rule

arcLength = radius * angleRadians; degrees * pi/180, gradians * pi/200, and turns * 2*pi convert to radians

Example

Input
Radius 2; angle 90 degrees
Calculation
2 * (90 * pi / 180)
Result
3.141593 length units
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