How to convert Degrees to Radians



Degrees to radians conversion formula


180° = π  (Learn this)

1° = π/180°

The angle “x” in radians is equal to the angle “x” in degrees times pi(π=22/7) constant divided by 180 degrees:
 
x(radians) = x(degrees) × π / 180°

or

radians = degrees × π / 180°

Example
Convert 300 degrees angle to radians:

x(radians) = x(degrees) × π / 180°

α(radians) = (α(degrees) / 180°) × π = (300° / 180°) × π
 = (10/6) × π = 10π/6 rad = 1.66667π rad



How to convert Radians to Degrees

Radians to degrees conversion formula

 

One degree is equal 0.01745329252 radians:

180° = π


1° = π/180°

1 rad = 180°/π

The angle x in degrees is equal to the angle x in radians times 180 degrees divided by pi(π=22/7)  constant:

x(degrees) = x(radians) × 180° / π

or

degrees = radians × 180° / π

Example

Convert 5.236 rad angle to degrees:
x(degrees) = x(radians) × 180° / π = 5.236 rad × 180° / 3.1459 = 300°



How to convert Degrees to Grade to radian:


Similarly 

90° = 100g = π/2