Radians to Degrees conversion

How to convert radians to degrees

Pi radians are equal to 180 degrees:

π rad = 180°

One radian is equal 57.295779513 degrees:

1 rad = 180°/π = 57.295779513°

The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant:

α(degrees) = α(radians) × 180° / π

or

degrees = radians × 180° / π

Example

Convert 2 radians angle to degrees:

α(degrees) = α(radians) × 180° / π = 2 × 180° / 3.14159 = 114.592°

Radians to degrees conversion table

Radians (rad)Radians (rad)Degrees (°)
0 rad0 rad
π/6 rad0.5235987756 rad30°
π/4 rad0.7853981634 rad45°
π/3 rad1.0471975512 rad60°
π/2 rad1.5707963268 rad90°
2π/3 rad2.0943951024 rad120°
3π/4 rad2.3561944902 rad135°
5π/6 rad2.6179938780 rad150°
π rad3.1415926536 rad180°
3π/2 rad4.7123889804 rad270°
2π rad6.2831853072 rad360°

 

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