Convert radians to turns
1 rad = 0.15915494 turn. Change the amount below, or read the formula and the reference table further down.
1 radian equals
turns
1 rad = 0.15915494 turn
The formula
Radians and turns both measure angle from the same zero, so a single multiplier does the job.
turn = rad × 0.1591549431
Going the other way? Convert turns to radians.
Radians to turns table
Common values, rounded for reading.
| Radians (rad) | Turns (turn) |
|---|---|
| 1 | 0.159155 |
| 2 | 0.31831 |
| 3 | 0.477465 |
| 4 | 0.63662 |
| 5 | 0.795775 |
| 6 | 0.95493 |
| 7 | 1.1141 |
| 8 | 1.2732 |
| 9 | 1.4324 |
| 10 | 1.5915 |
| 15 | 2.3873 |
| 20 | 3.1831 |
| 25 | 3.9789 |
| 30 | 4.7746 |
| 40 | 6.3662 |
| 50 | 7.9577 |
| 75 | 11.9366 |
| 100 | 15.9155 |
| 250 | 39.7887 |
| 500 | 79.5775 |
| 1,000 | 159.15 |
Questions people ask
- How many turns are in a radian?
- One radian equals 0.1591549431 turns.
- How do I convert radians to turns by hand?
- Multiply the number of radians by 0.1591549431. For a rough check, 0.159 is close enough for most everyday use.
- What is 1 radian in turns?
- 1 radian is 0.15915494 turns.
Calcuit generates this page from a unit table, so the factors here match every other page on the site.