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How to convert Radians to Degrees

How to convert radians to degrees.

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Radians to degrees conversion formula

One degree is equal 0.01745329252 radians:

1° = π/180° = 0.005555556π = 0.01745329252 rad

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 0.5236 rad angle to degrees:

α(degrees) = α(radians) × 180° / π = 0.5236 rad × 180° / 3.1459 = 30°

How to convert degrees to radians →