An angle of 20 radians is equivalent to many degrees.

Question

An angle of 20 radians is equivalent to many degrees.

Answer 1

1 radian=57.2958º or 1 radian=180/∏

20 radians=20*57.2958=1145.916º

Answer 2

π radians is equivalent to 180°

 

20 radians = (20 radians)(180°/π radians) ≈ 1146°

 

In general, to convert radians to degrees, multiply by 180/π.  to convert degrees to radians, multiply by π/180.  

 

By the way, 1 radian ≈ 57.3°. So multiplying 20 by 57.3 is an approximation for the degree measure of 20 radians.