converting degrees into radians

Question

Can someone explain how to convert degrees into radians? Is there a formula I need to use. Please give help with these examples:

 

Convert 1 radian into degrees

convert 90 degrees to radians.
 

Answer 1

α[radian] = α[degrees] × (π / 180)
α[degrees] = (180 / π) × α[radian]

α[degrees] = (180 / π) × 1[radian]=57,3[degrees]

α[radian] = 90[degrees] × (π / 180)=1,57[radian]

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