Turns to Radians Converter
How to convert turns to radians
radians = turns × 6.28318531
To convert turns to radians, multiply the number of turns by 6.28318531.
1 tr = 6.28318531 rad
Examples
- A right angle: 0.25 tr × 6.28318531 = 1.57079633 rad
- 1 tr × 6.28318531 = 6.28318531 rad
Good to know
One turn is exactly 2π radians, about 6.28319 rad.
Turns to radians conversion table
| Turns (tr) | Radians (rad) |
|---|---|
| 0.125 tr | 0.785398163 rad |
| 0.25 tr | 1.57079633 rad |
| 0.5 tr | 3.14159265 rad |
| 0.75 tr | 4.71238898 rad |
| 1 tr | 6.28318531 rad |
| 1.5 tr | 9.42477796 rad |
| 2 tr | 12.5663706 rad |
| 3 tr | 18.8495559 rad |
| 4 tr | 25.1327412 rad |
| 5 tr | 31.4159265 rad |
| 10 tr | 62.8318531 rad |
| 100 tr | 628.318531 rad |
Unit definitions
- 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.
- 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°.