Radian (rad)
A radian is the SI unit of angle — the angle subtended when arc length equals radius, about 57.3 degrees.
Radians appear in trigonometry, physics formulas, and programming math libraries.
Radian to Revolution
Convert radian to revolution instantly. Type in either field — results update live.
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Angle Radian Revolution
1 radian = 0.1591549431 revolutions
Unit
Unit
Conversion table
Selected rad values converted to rev using the exact factor from this tool.
| rad | rev |
|---|---|
| 0.01 | 0.0015915494 |
| 0.1 | 0.0159154943 |
| 1 | 0.1591549431 |
| 2 | 0.3183098862 |
| 3 | 0.4774648293 |
| 5 | 0.7957747155 |
| 10 | 1.5915494309 |
| 20 | 3.1830988618 |
| 50 | 7.9577471546 |
| 100 | 15.9154943092 |
| 1,000 | 159.1549430919 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 rad = 0.1591549431 rev
1 rev = 6.2831853072 rad
To convert radian to revolution, multiply by 0.1591549431.
To convert revolution to radian, multiply by 6.2831853072.
Example: convert 10 rad to rev
10 × 0.1591549431 = 1.5915494309 rev
About these units
Short background on the units used in this conversion.
Revolution (rev)
A revolution (turn) is one complete 360-degree rotation — equal to 2π radians.
Revolutions per minute (RPM) rate motors, turbines, and rotating machinery.
Frequently asked questions
How many revolutions are in one radian?
One radian equals 0.1591549431 revolutions. Multiply your radians value by 0.1591549431 to convert to revolutions.
What is the conversion formula?
rev = rad × 0.1591549431The reverse is
rad = rev × 6.2831853072, using the same exact factors as this converter.Is this Radian to Revolution converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.