Solve the following problems. Show step by step solutions.

Question

Convert the following radians measures to degrees:

a. 20

b. 40

c. 90

d. π

e. 2π/3

f. π/5

Answer 1

To convert from radians to degrees multiply your angle in radians by:

To convert from degrees to radians, multiply your degree in radians by:

So, for instance, if you have an angle of π radians and you want to convert to degrees:

Notice that the π on top (first expression) cancels with the π on bottom (2nd expression) and the units "radians" cancels with "radians" and you are left with just 180°

Do the same with the other problems.