Convert Revolutions to Radians
Please enter the angle in revolutions below to convert it into radians.
Would you like to convert radians to revolutions?
How to Convert Revolutions to Radians
To convert a measurement in revolutions to radians, simply multiply the angle by the conversion ratio.
The relationship between revolutions and radians is: one radian is equal to 0.5π revolutions. Therefore, we can use the following formula to convert between these units of measurement:
radians = revolutions × 2 × π
For example, to convert 7 revolutions to radians using this method, you would write:
radians = 7 × 2 × π
radians = 4.4563384
radians = 4.4563384
Therefore, 7 revolutions is equivalent to 4.4563384 radians.
Revolutions to Radians Conversion Table
| Revolutions | Radians (multiple of π) | Radians (decimal) |
|---|---|---|
| 0 rev | 0 rad | |
| 0.25 rev | 0.159154943 rad | |
| 0.5 rev | 0.31830989 rad | |
| 0.75 rev | 0.477464829 rad | |
| 1 rev | 0.6366198 rad | |
| 2 rev | 1.2732395 rad | |
| 3 rev | 1.9098593 rad | |
| 5 rev | 3.1830989 rad | |
| 10 rev | 6.3661977 rad | |
| 15 rev | 9.5492966 rad |