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\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
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°