Radians to Degrees

Question

Convert the following from radians to degrees 3(3.14)/4

Answer 1

The unit circle is 2rad. In degrees, a circle is 360degree. Thus, 2πrad = 360degree ==> 1rad = (360/2π) degrees = 180/π degrees. With the same type of thinking we see that 1 degree = (2π)/360 rad = π/180 rad.

Answer 2

To convert from radians to degrees, you multiply by 180/π since 180° = π radians.

 

3π/4 · 180/π = 540π/4π = 135°