How to convert radians to degrees
1 rad ≈ 57.2958 °
1 rad = 180/π degrees exactly, about 57.29578°, because 1° = π/180 rad (SI Brochure, Table 8). Multiply radians by 180/π.
Examples
- 1 rad = 57.29578 °: one radian
- 6.2831853 rad = 360 °: two pi radians, one full revolution
- 0.1 rad = 5.729578 °: a small angle from a physics problem
Radians to degrees chart
| Radians (rad) | Degrees (°) |
|---|---|
| 0.1 rad | 5.729578 ° |
| 1 rad | 57.29578 ° |
| 2 rad | 114.59156 ° |
| 3 rad | 171.88734 ° |
| 4 rad | 229.18312 ° |
| 5 rad | 286.4789 ° |
| 6.2831853 rad | 360 ° |
| 10 rad | 572.9578 ° |
| 15 rad | 859.43669 ° |
| 20 rad | 1,145.9156 ° |
| 25 rad | 1,432.3945 ° |
| 50 rad | 2,864.789 ° |
| 75 rad | 4,297.1835 ° |
| 100 rad | 5,729.578 ° |
Common mistakes
- 3.14 rad is not exactly 180°; it is about 179.91°. Use π itself when an exact answer is needed.