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 0.159155 revolutions. Going the other way, 1 revolution = 6.28319 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 = 7.16197 rev
radians to revolutions conversion chart
Use this radians to revolutions table for quick reference without typing anything.
| radians (rad) | revolutions (rev) |
|---|---|
| 1 rad | 0.159155 rev |
| 5 rad | 0.795775 rev |
| 10 rad | 1.59155 rev |
| 15 rad | 2.38732 rev |
| 30 rad | 4.77465 rev |
| 45 rad | 7.16197 rev |
| 60 rad | 9.5493 rev |
| 90 rad | 14.3239 rev |
| 180 rad | 28.6479 rev |
| 270 rad | 42.9718 rev |
| 360 rad | 57.2958 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 0.159155 revolutions. Going the other way, 1 revolutions is 6.28319 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 1.59155 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
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