How to convert Radians to Degrees

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°

2 radian is equal 114.59155903° degrees:

2 rad = 180°/π = 114.59155903°

5 radian is equal 286.47889757° degrees:

5 rad = 180°/π = 286.47889757°

So 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 1

Convert 0.5036 rad angle to degrees:

α(degrees) = α(radians) × 180° / π = 0.5236 rad × 180° / 28.854154563°

Example 2

Convert 0.6236 rad angle to degrees:

α(degrees) = α(radians) × 180° / π = 0.5236 rad × 180° / 35.729648104°

Example 3

Convert 1.62 rad angle to degrees:

α(degrees) = α(radians) × 180° / π = 0.5236 rad × 180° / 92.819162811°

Example 4

Convert 2.50 rad angle to degrees:

α(degrees) = α(radians) × 180° / π = 0.5236 rad × 180° / 143.23944878°

 

 

How to convert degrees to radians ►

 


See also

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