HOW TO CONVERT RADIANS TO DEGREES  

To convert from degree to radians, multiply by π/180

To convert from radians to degrees, multiply by 180/π

Convert the following radian measure to degrees:

Problem 1 :

π/5

Solution:

π/5 = (π/5) × (180˚/π)

= 36˚

Problem 2 :

3π/5

Solution:

3π/5 = (3π/5) × (180˚/π)

= 108˚

Problem 3 :

3π/4

Solution:

3π/4 = (3π/4) × (180˚/π)

= 135˚

Problem 4 :

π/18

Solution:

π/18 = (π/18) × (180˚/π)

= 10˚

Problem 5 :

π/9

Solution:

π/9 = (π/9) × (180˚/π)

= 20˚

Problem 6 :

7π/9

Solution:

7π/9 = (7π/9) × (180˚/π)

= 140˚

Problem 7 :

π/10

Solution:

π/10 = (π/10) × (180˚/π)

= 18˚

Problem 8 :

3π/20

Solution:

3π/20 = (3π/20) × (180˚/π)

= 27˚

Problem 9 :

5π/6

Solution:

5π/6 = (5π/6) × (180˚/π)

= 150˚

Problem 10 :

π/8

Solution:

π/8 = (π/8) × (180˚/π)

= 22.5˚