Convert Radians to Revolutions
Please enter the angle in radians below to convert it into revolutions.
Would you like to convert revolutions to radians?
How to Convert Radians to Revolutions
To convert a measurement in radians to revolutions, simply multiply the angle by the conversion ratio.
The relationship between radians and revolutions is: one revolution is equal to 2π radians. Therefore, we can use the following formula to convert between these units of measurement:
revolutions = radians × 0.5 × π
For example, to convert 8 radians to revolutions using this method, you would write:
revolutions = 8 × 0.5 × π
revolutions = 1.2732395
revolutions = 1.2732395
Therefore, 8 radians is equivalent to 1.2732395 revolutions.
Radians to Revolutions Conversion Table
| Radians (multiple of π) | Radians (decimal) | Revolutions |
|---|---|---|
| 0 rad | 0 rad | 0 rev |
| π/12 rad | 0.26179939 rad | 0.04166666 rev |
| π/6 rad | 0.52359878 rad | 0.08333333 rev |
| π/4 rad | 0.78539816 rad | 0.125 rev |
| π/3 rad | 1.04719755 rad | 0.1666666 rev |
| π/2 rad | 1.57079633 rad | 0.25 rev |
| 2π/3 rad | 2.0943951 rad | 0.3333333 rev |
| 5π/6 rad | 2.61799388 rad | 0.4166666 rev |
| 11π/12 rad | 2.87979327 rad | 0.4583333 rev |
| π rad | 3.14159265 rad | 0.5 rev |
| 5π/4 rad | 3.92699082 rad | 0.625 rev |
| 3π/2 rad | 4.71238898 rad | 0.75 rev |
| 7π/4 rad | 5.49778714 rad | 0.875 rev |
| 2π rad | 6.28318531 rad | 1 rev |