Radians to Turns Converter
How to convert radians to turns
turns = radians ÷ 6.28318531
To convert radians to turns, divide the number of radians by 6.28318531.
1 rad = 0.159154943 tr
Examples
- 1 rad ÷ 6.28318531 = 0.159154943 tr
- Π radians, a half turn: 3.14159265 rad ÷ 6.28318531 = 0.499999999 tr
Good to know
One turn is exactly 2π radians, about 6.28319 rad.
Radians to turns conversion table
| Radians (rad) | Turns (tr) |
|---|---|
| 0.1 rad | 0.0159154943 tr |
| 0.25 rad | 0.0397887358 tr |
| 0.5 rad | 0.0795774715 tr |
| 0.75 rad | 0.119366207 tr |
| 1 rad | 0.159154943 tr |
| 1.5 rad | 0.238732415 tr |
| 2 rad | 0.318309886 tr |
| 2.5 rad | 0.397887358 tr |
| 3 rad | 0.477464829 tr |
| 3.14159265 rad | 0.499999999 tr |
| 4 rad | 0.636619772 tr |
| 5 rad | 0.795774715 tr |
| 6 rad | 0.954929659 tr |
| 6.28318531 rad | 1 tr |
Unit definitions
- Radian (rad)
- The radian is the SI unit of angle: the angle at the center of a circle subtended by an arc equal in length to the radius. A full turn is 2π radians, so one radian is 180/π degrees, about 57.2958°.
- Turn (tr)
- A turn, or revolution, is one complete rotation: exactly 360 degrees or 2π radians. It is used for rotating machinery and for counting rotations.