Degrees to radians
Type a value in ° to get it in rad instantly.
1.571rad
That's about the same as a right angle. That is 0.25 of a full turn.
Convert the other way: rad to °
What it means
How wide is that?
The road gradient shown is the tangent of the angle, the way highway signs measure steepness.
The math
How to convert ° to rad
To convert degrees to radians, multiply by 0.0174533.
Example: 90 ° × 0.0174533 = 1.5708 rad.
In the other direction, 1 rad = 57.2958 °.
Every unit
Your angle in every unit
Tables
° to rad conversion table
| ° | rad |
|---|---|
| 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 |
| 75 ° | 1.309 rad |
| 90 ° | 1.5708 rad |
| 120 ° | 2.0944 rad |
| 135 ° | 2.35619 rad |
| 150 ° | 2.61799 rad |
| 180 ° | 3.14159 rad |
| 270 ° | 4.71239 rad |
| 360 ° | 6.28319 rad |
rad to ° conversion table
| rad | ° |
|---|---|
| 1 rad | 57.2958 ° |
| 5 rad | 286.479 ° |
| 10 rad | 572.958 ° |
| 15 rad | 859.437 ° |
| 30 rad | 1,718.87 ° |
| 45 rad | 2,578.31 ° |
| 60 rad | 3,437.75 ° |
| 75 rad | 4,297.18 ° |
| 90 rad | 5,156.62 ° |
| 120 rad | 6,875.49 ° |
| 135 rad | 7,734.93 ° |
| 150 rad | 8,594.37 ° |
| 180 rad | 10,313.2 ° |
| 270 rad | 15,469.9 ° |
| 360 rad | 20,626.5 ° |
Quick answers
Quick answers
- How many rad is 1 °?
- 1 ° is 0.0174533 rad.
- How many rad is 10 °?
- 10 ° is 0.174533 rad.
- How many rad is 90 °?
- 90 ° is 1.5708 rad.
The units
About these units
Degrees (°)
A degree is a 360th of a full turn. It comes from Babylonian astronomy and stays standard for navigation, building and everyday geometry.
Radians (rad)
One radian is the angle where the arc equals the radius, about 57.3°. It is the SI unit and the one every programming language expects.
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