rad to deg Converter
Convert rad to deg: 1 rad = 57.29577951 deg. Formula, worked example, table of common values and unit definitions.
Result179.9999998 deg
1 rad = 57.29577951 deg
3.14159265 rad =
179.9999998 deg
Formula
deg = rad × 57.29577951 rad = deg × 0.01745329252
Worked example
- 3.14159265 rad × 57.29577951 = 179.9999998 deg
Common values
| rad | deg |
|---|---|
| 0.5 | 28.64788976 |
| 1 | 57.29577951 |
| 1.5708 | 90.00021046 |
| 3.14159265 | 179.9999998 |
| 6.28318531 | 360.0000002 |
Unit definitions
| Unit | Equals | What it is |
|---|---|---|
| rad | 1 rad | Radian, the SI unit of plane angle: the angle at the centre of a circle that cuts an arc equal to the radius. 180 degrees is π radians. |
| deg | 0.01745329252 rad | Degree, 1/360 of a full turn. Bearings, survey and drawings. |
Frequently asked questions
How many deg are in one rad?
1 rad = 57.29577951 deg.
What is the formula to convert rad to deg?
deg = rad × 57.29577951. To go back, rad = deg × 0.01745329252.
What is the formula to convert radians to degrees?
degrees = radians × 180 ÷ π, which is about 57.2958 degrees per radian. π radians is 180 degrees.
Related
Opposite direction: deg to rad
Angle ConverterConversion Centre