We have been here before on this subject in the past.
I understand if I wish to convert radians to degrees then (pi) / (180) x angle in degrees = angle in radians.
I also understand that if I wish to convert angles in degrees to radians, then (180) / (pi) x angle in radians = angle in degrees.
I have also seen angles in radians shown as (pi) / (6) = 30 degrees.
Now if this information is presented to me (pi) / (6) x 57.3 = 30 degrees.
If I wanted to change 30 degrees to radians, then using the above method I can do the conversions, but here is where I loose the understanding?
If I do a conversion, say I want to convert 270 degrees to radians, then by the following method;
angle in radians = (pi) / (180) x 270 = 4.71 radians
How do I convert the decimal 4.71 radians to the proper conversion (3 pi) / (2)
so 270 degrees = (3 pi) / (2) radians