Radius And Arc Length To Angle Converter

Calculate an angle from a radius and arc length. The radius and arc length must use the same length unit.








Conversion Table (radius = 2)

RadiusArc LengthAngleUnit
200.000000degrees
21.57079632679489745.000000degrees
23.14159265358979390.000000degrees
26.283185307179586180.000000degrees

How This Converter Works

Calculates an angle from a positive radius and nonnegative arc length measured in the same length unit. The angle output unit is selectable: radians, degrees, gradians, or turns. There is no maximum arc length/angle. Blank fields clear output, invalid values show Invalid input, and output has six decimals.

Formula or rule

angleRadians = arcLength / radius; degrees = radians * 180/pi; gradians = radians * 200/pi; turns = radians/(2*pi)

Example

Input
Radius 2; arc length pi length units; degrees selected
Calculation
pi / 2 = pi/2 radians; (pi/2) * 180 / pi
Result
90.000000 degrees
Radians To Arcminutes Converter Convert radians to arcminutes with the formula arcminutes = radians × 10,800 / pi. Degrees To Gradians Converter Convert angles from degrees to gradians (gons) with an instant result and reference table. Turns To Gradians Converter Convert angles from turns (revolutions) to gradians (gons), with 400 gradians in one full turn. DMS To Decimal Degrees Converter Convert degrees, minutes, and seconds to decimal-degree angles with an instant result and reference table.