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.
Revolution to Radian
Convert revolution to radian instantly. Type in either field — results update live.
Instant
Private
Free
Angle Revolution Radian
1 revolution = 6.2831853072 radians
Unit
Unit
Conversion table
Selected rev values converted to rad using the exact factor from this tool.
| rev | rad |
|---|---|
| 0.01 | 0.0628318531 |
| 0.1 | 0.6283185307 |
| 1 | 6.2831853072 |
| 2 | 12.5663706144 |
| 3 | 18.8495559215 |
| 5 | 31.4159265359 |
| 10 | 62.8318530718 |
| 20 | 125.6637061436 |
| 50 | 314.159265359 |
| 100 | 628.318530718 |
| 1,000 | 6,283.1853071796 |
How to convert
Exact conversion factors in both directions, plus a worked example.
1 rev = 6.2831853072 rad
1 rad = 0.1591549431 rev
To convert revolution to radian, multiply by 6.2831853072.
To convert radian to revolution, multiply by 0.1591549431.
Example: convert 10 rev to rad
10 × 6.2831853072 = 62.8318530718 rad
About these units
Short background on the units used in this conversion.
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.
Frequently asked questions
How many radians are in one revolution?
One revolution equals 6.2831853072 radians. Multiply your revolutions value by 6.2831853072 to convert to radians.
What is the conversion formula?
rad = rev × 6.2831853072The reverse is
rev = rad × 0.1591549431, using the same exact factors as this converter.Is this Revolution to Radian converter private?
Yes. All calculations run locally in your browser. Nothing you type is sent to a server.