1 turn to radians
1 turn = 6.283185 rad. Change the amount below, or read the formula and the reference table further down.
1 turn equals
radians
1 turn = 6.283185 rad
The formula
Turns and radians both measure angle from the same zero, so a single multiplier does the job.
rad = turn × 6.28318531
Going the other way? Convert radians to turns.
Turns to radians table
Values either side of 1 turn.
| Turns (turn) | Radians (rad) |
|---|---|
| -4 | -25.1327 |
| -3.5 | -21.9911 |
| -3 | -18.8496 |
| -2.5 | -15.708 |
| -2 | -12.5664 |
| -1.5 | -9.4248 |
| -1 | -6.2832 |
| -0.5 | -3.1416 |
| 0 | 0 |
| 0.5 | 3.1416 |
| 1 | 6.2832 |
| 1.5 | 9.4248 |
| 2 | 12.5664 |
| 2.5 | 15.708 |
| 3 | 18.8496 |
| 3.5 | 21.9911 |
| 4 | 25.1327 |
| 4.5 | 28.2743 |
| 5 | 31.4159 |
| 5.5 | 34.5575 |
| 6 | 37.6991 |
Questions people ask
- How many radians are in a turn?
- One turn equals 6.28318531 radians.
- How do I convert turns to radians by hand?
- Multiply the number of turns by 6.28318531. For a rough check, 6.3 is close enough for most everyday use.
- What is 1 turn in radians?
- 1 turn is 6.283185 radians.
Calcuit generates this page from a unit table, so the factors here match every other page on the site.