How to convert angle units
Degrees × 0.017453292519943295 ÷ 6.283185307179586 = Turns. Factors are relative to radians.
Multiply your input by its scale factor, then divide by the output unit’s factor. All factors below are expressed in radians per one unit. Some factors have been rounded to the precision shown.
| Unit | Factor in radians |
|---|---|
| Degrees | 0.017453292519943295 |
| Radians | 1 |
| Turns | 6.283185307179586 |
| Gradians | 0.015707963267948967 |
| Arcminutes | 0.0002908882086657216 |
| Arcseconds | 0.00000484813681109536 |
| Milliradians | 0.001 |
Conventions
These are scale conversions within a single measurement dimension. They do not convert between different physical quantities.
Example conversion routes
- Degrees to Turns
- Degrees to Gradians
- Degrees to Arcminutes
- Degrees to Arcseconds
- Degrees to Milliradians
- Radians to Degrees
- Radians to Gradians
- Radians to Arcminutes
- Radians to Arcseconds
- Radians to Milliradians
- Turns to Degrees
- Turns to Radians
- Turns to Gradians
- Turns to Arcminutes
- Turns to Arcseconds
- Turns to Milliradians
The directory lists each direction as a conversion route. These routes share this workspace and canonical page to avoid creating repetitive pages for the same converter.