Radians To Turns Converter

Convert an angle in radians to turns (revolutions). One full turn is 2 pi radians.




Conversion Table

RadiansTurns
00.000000
1.5707963267948970.250000
3.1415926535897930.500000
6.2831853071795861.000000
-1.570796326794897-0.250000

Reverse Conversion

Turns to Radians

How This Converter Works

Converts radians to turns (revolutions), where one full turn is 2 pi radians. Any finite numeric input is accepted, including negative values; blank input clears the result and non-finite input shows Invalid input. Output has six decimal places.

Formula or rule

turns = radians / (2 * pi)

Example

Input
pi radians
Calculation
pi / (2 * pi)
Result
0.500000 turns
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