deg to rad Converter
Convert deg to rad: 1 deg = 0.01745329252 rad. Formula, worked example, table of common values and unit definitions.
Result1.570796327 rad
1 deg = 0.01745329252 rad
90 deg =
1.570796327 rad
Formula
rad = deg × 0.01745329252 deg = rad × 57.29577951
Worked example
- 90 deg × 0.01745329252 = 1.570796327 rad
Common values
| deg | rad |
|---|---|
| 1 | 0.01745329252 |
| 30 | 0.5235987756 |
| 45 | 0.7853981634 |
| 90 | 1.570796327 |
| 180 | 3.141592654 |
| 270 | 4.71238898 |
| 360 | 6.283185307 |
Unit definitions
| Unit | Equals | What it is |
|---|---|---|
| deg | 0.01745329252 rad | Degree, 1/360 of a full turn. Bearings, survey and drawings. |
| 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. |
Frequently asked questions
How many rad are in one deg?
1 deg = 0.01745329252 rad.
What is the formula to convert deg to rad?
rad = deg × 0.01745329252. To go back, deg = rad × 57.29577951.
What is the formula to convert degrees to radians?
radians = degrees × π ÷ 180, which is about 0.0174533 radians per degree. 180 degrees is π radians and 360 degrees is 2π.
Why do formulas use radians?
Calculus, series and most software functions define sine and cosine for angles in radians, so a value in degrees must be converted first.
Related
Opposite direction: rad to deg
Angle ConverterConversion Centre