Convert Radian to Turn
Use this free converter to change radians (rad) into turns (turn). Radian and turn both measure angle. As a quick reference, 1 rad equals 0.15915494 turn, and 1 turn equals 6.2831853 rad.
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Turn (turn)
0.15915494
1 rad = 0.15915494 turn
Angle conversion table
| Radian | Turn |
|---|---|
| 0.01 | 0.0015915494 |
| 0.1 | 0.015915494 |
| 0.5 | 0.079577472 |
| 1 | 0.15915494 |
| 2 | 0.31830989 |
| 3 | 0.47746483 |
| 5 | 0.79577472 |
| 10 | 1.5915494 |
| 20 | 3.1830989 |
| 25 | 3.9788736 |
| 50 | 7.9577472 |
| 100 | 15.915494 |
| 1,000 | 159.15494 |
How to convert Radian to Turn
Multiply the radian value by 0.15915494 to get turns.
- Enter the number of radians you want to convert.
- The converter instantly shows the equivalent value in turns.
- Worked example: 15 rad × 0.15915494 = 2.3873241 turn.
- Use the swap button to reverse the conversion (turn to radian).
About these units
Radian (rad)
- Definition
- A radian (rad) is the SI angle for which the arc length equals the radius; a full circle is 2π radians.
- History
- The concept was formalised in the 19th century and named in 1873.
- Current use
- Radians are the standard angle unit in mathematics and physics.
Turn (turn)
- Definition
- A turn is one complete rotation, equal to 360 degrees or 2π radians.
- History
- The full turn is the most intuitive angle and underlies the definition of other units.
- Current use
- Turns describe rotations in engineering, mechanics, and everyday language.
Frequently asked questions
How many turns are in a radian?
There are 0.15915494 turn in 1 rad. To convert, multiply the number of radians by 0.15915494.
How do I convert radians to turns?
Multiply the radian value by 0.15915494 to get turns. For example, 10 rad = 1.5915494 turn.
Is this radian-to-turn converter free?
Yes. This converter is completely free, runs entirely in your browser, and requires no sign-up. Your inputs never leave your device.
Convert Radian to other angle units
| Unit | 1 Radian equals |
|---|---|
| Degree (°) | 57.29578 ° |
| Gradian (grad) | 63.661977 grad |
| Arcminute (') | 3437.7468 ' |
| Arcsecond (") | 206264.81 " |
| Turn (turn) | 0.15915494 turn |