Convert radians to revolutions
Radians to revolutions. Enter a value to convert, or use the radians to revolutions chart further down the page.
1 radian equals 0.1591549431 revolutions. Going the other way, 1 revolution = 6.283185307 radians.
How to convert radians to revolutions
To convert radians to revolutions, multiply the radian value by 0.1591549431. You can also divide by 6.283185307 to get the same answer.
rev = rad × 0.1591549431
Worked example
Convert 45 rad to revolutions:
45 rad = 7.161972439 rev
radians to revolutions conversion chart
Use this radians to revolutions table for quick reference without typing anything.
| radians (rad) | revolutions (rev) |
|---|---|
| 1 rad | 0.1591549431 rev |
| 5 rad | 0.7957747155 rev |
| 10 rad | 1.591549431 rev |
| 15 rad | 2.387324146 rev |
| 30 rad | 4.774648293 rev |
| 45 rad | 7.161972439 rev |
| 60 rad | 9.549296586 rev |
| 90 rad | 14.32394488 rev |
| 180 rad | 28.64788976 rev |
| 270 rad | 42.97183463 rev |
| 360 rad | 57.29577951 rev |
What is a radian?
A radian is the angle subtended by an arc equal in length to the radius. A full turn is 2π radians, so 1 rad ≈ 57.2958°.
What is a revolution?
One revolution is a complete turn: 360 degrees, or 2π radians.
Frequently asked questions
How many revolutions are in a radian?
1 radians equals 0.1591549431 revolutions. Going the other way, 1 revolutions is 6.283185307 radians.
How do you convert radians to revolutions?
To convert radians to revolutions, multiply the radian value by 0.1591549431. You can also divide by 6.283185307 to get the same answer.
What is 10 radians in revolutions?
10 radians equals 1.591549431 revolutions. The conversion chart on this page lists the other values people look up most often.
Related angle conversions
Convert radians to other units
- revolutions to radians
- radians to degrees
- radians to gradians
- radians to arcminutes
- radians to arcseconds
Convert other units to revolutions
Popular conversions
cm to inchesinches to cmkg to lbslbs to kgCelsius to FahrenheitFahrenheit to Celsiusmm to inchesinches to mmkm to milesmiles to kmmeters to feetfeet to meterscm to feetfeet to inchesinches to feetml to fl ozfl oz to mlliters to gallonsgallons to literscups to ml