\begin{align} \pi &= 3.1415926535897...\\ \\ 1\, rad &= \frac {180^{\circ}}{\pi} \approx 57.2957795131^{\circ}\\ \\ \alpha^{\circ}&=\alpha^{rad} \times \frac {180^{\circ}}{\pi}\\ \end{align}
| radian (rad) | radian (rad) | degree of arc (°) |
|---|---|---|
| 0 rad | 0 rad | 0° |
| π/6 rad | 0.5235987756 rad | 30° |
| π/4 rad | 0.7853981634 rad | 45° |
| π/3 rad | 1.0471975512 rad | 60° |
| π/2 rad | 1.5707963268 rad | 90° |
| 2π/3 rad | 2.0943951024 rad | 120° |
| 3π/4 rad | 2.3561944902 rad | 135° |
| 5π/6 rad | 2.6179938780 rad | 150° |
| π rad | 3.1415926536 rad | 180° |
| 7π/6 rad | 3.6651914292 rad | 210° |
| 5π/4 rad | 3.9269908170 rad | 225° |
| 4π/3 rad | 4.1887902048 rad | 240° |
| 3π/2 rad | 4.7123889804 rad | 270° |
| 5π/3 rad | 5.2359877560 rad | 300° |
| 7π/4 rad | 5.4977871438 rad | 315° |
| 11π/6 rad | 5.7595865316 rad | 330° |
| 2π rad | 6.2831853072 rad | 360° |