Radians to revolutions
Type a value in radians to see it in revolutions straight away, or type in the second box to convert back.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Type the value in the radians box.
- Read the result in revolutions as you type, and pick the precision you need.
- Swap the direction to convert back, or copy the result.
How it is calculated
rev = rad × 0.1591549431
Multiply the value in radians by 0.1591549431 to get revolutions.
Example
To convert 25 rad to revolutions: 25 × 0.1591549431 = 3.97887 rev.
Conversion table
| Radians (rad) | Revolutions (rev) |
|---|---|
| 1 | 0.159155 |
| 2 | 0.31831 |
| 3 | 0.477465 |
| 5 | 0.795775 |
| 10 | 1.59155 |
| 20 | 3.1831 |
| 25 | 3.97887 |
| 50 | 7.95775 |
| 100 | 15.9155 |
| 250 | 39.7887 |
| 500 | 79.5775 |
| 1,000 | 159.155 |
About the units
- Radian
- The radian is the SI unit of angle: the angle subtended by an arc equal in length to the radius. It equals 180/π degrees, about 57.2958 degrees.
- Revolution
- One revolution (full turn) is exactly 360 degrees, or 2π radians.
Limits and caveats
- Results are rounded for display and computed with the browser's floating point precision (about 15 significant digits).
- Both unit factors are exact by their official definitions.
Questions about this tool
How many revolutions are in one radian?
1 rad = 0.159155 rev exactly.
How do I convert radians to revolutions?
Use rev = rad × 0.1591549431. For example, 25 rad = 3.97887 rev.
How many radians are in one revolution?
1 rev = 6.28319 rad.
Why does my calculator give a strange answer for sine?
It is probably set to radians (RAD) while you are entering degrees. The sine of 30 degrees is 0.5, but the sine of 30 radians is about -0.988, so switch to DEG first.
What is the difference between MOA and MIL on a rifle scope?
MOA is an arcminute, 1/60 of a degree, while a MIL is a milliradian, about 3.438 MOA. At 100 meters a 0.1 MIL click moves impact 1 cm, and 1 MOA moves it about 2.9 cm.