Radian to Degree
1 rad = 57.2957795131 °
How to convert radian to degree
Enter the value in radian (rad) above and the equivalent in degree (°) updates as you type. This conversion comes up when programming: graphics libraries often want radians while design tools show degrees.
- A right angle: 90°, about 1.57 radians (π/2) → that is 1.570796 rad in radian.
- A 45° roof pitch is a 50% (100 gon/2) slope guide → that is 0.785398 rad in radian.
Typical situations: machining and carpentry specs mixing degrees and gradians; navigation: bearings and compass readings.
You can also convert in the other direction: Degree to Radian
Radian to Degree conversion table
| Radian (rad) | Degree (°) |
|---|---|
| 1 | 57.29578 |
| 2 | 114.591559 |
| 5 | 286.478898 |
| 10 | 572.957795 |
| 25 | 1,432.394488 |
| 50 | 2,864.788976 |
| 100 | 5,729.577951 |
Watch out for
- Radians are dimensionless, which is why calculus uses them; degree-based formulas break in derivatives
- Gradians (400 per circle) appear mainly on European construction calculators
Frequently asked questions
How many degrees is 1 radian?
1 radian = 57.29578 degrees.
What is the formula to convert radian to degrees?
The formula is: ° = rad × 57.29578.
What is 10 radians in degrees?
10 radians = 572.957795 degrees.