Degrees to Radians Converter
Type a value in degrees to get radians. You can also type in the radians box to convert the other way.
°
rad
1 ° = 0.017453293 rad
Convert radians to degreesHow to convert degrees to radians
The formula:
rad = ° × 0.0174533
Example: 10 ° × 0.0174533 = 0.174533 rad
Common angles are written as fractions of π: 90° is π/2, 180° is π and 360° is 2π radians.
Degrees to Radians conversion chart
| Degrees | Radians |
|---|---|
| 1 ° | 0.0174533 rad |
| 5 ° | 0.0872665 rad |
| 10 ° | 0.174533 rad |
| 15 ° | 0.261799 rad |
| 30 ° | 0.523599 rad |
| 45 ° | 0.785398 rad |
| 60 ° | 1.0472 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 180 ° | 3.14159 rad |
| 270 ° | 4.71239 rad |
| 360 ° | 6.28319 rad |
What is a degree?
One 360th of a full turn. Used on protractors, compasses and machine drawings.
What is a radian?
The angle where the arc equals the radius. A full turn is 2π radians, so 1 radian is about 57.3 degrees.
Frequently asked questions
What is 1 ° in radians?
1 ° is 0.01745329 rad.
How do I convert degrees to radians?
Multiply the value in degrees by 0.0174533. For example, 10 ° × 0.0174533 = 0.174533 rad.
What is 10 ° in radians?
10 ° is 0.174533 rad.