HOW TO CONVERT DEGREES TO RADIANS IN TERMS OF PI 

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

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

Convert to radians, in terms of π:

Problem 1 :

 90˚

Solution:

90˚ = 90˚ × (π/180˚) 

= π/2 radians

Problem 2 :

 60˚

Solution:

60˚ = 60˚ × (π/180˚) 

= π/3 radians

Problem 3 :

 30˚

Solution:

30˚ = 30˚ × (π/180˚) 

= π/6 radians

Problem 4 :

 18˚

Solution:

18˚ = 18˚ × (π/180˚) 

= π/10 radians

Problem 5 :

 9˚

Solution:

9˚ = 9˚ × (π/180˚) 

= π/20 radians

Problem 6 :

 135˚

Solution:

135˚ = 135˚ × (π/180˚) 

= 3π/4 radians

Problem 7 :

 225˚

Solution:

225˚ = 225˚ × (π/180˚) 

= 5π/4 radians

Problem 8 :

 270˚

Solution:

270˚ = 270˚ × (π/180˚) 

= 3π/2 radians

Problem 9 :

 360˚

Solution:

360˚ = 360˚ × (π/180˚) 

= 2π radians

Problem 10 :

 720˚

Solution:

720˚ = 720˚ × (π/180˚) 

= 4π radians

Problem 11 :

 315˚

Solution:

315˚ = 315˚ × (π/180˚) 

= 7π/4 radians

Problem 12 :

 540˚

Solution:

540˚ = 540˚ × (π/180˚) 

= 3π radians

Problem 13 :

 36˚

Solution:

36˚ = 36˚ × (π/180˚) 

= π/5 radians

Problem 14 :

 80˚

Solution:

80˚ = 80˚ × (π/180˚) 

= 4π/9 radians

Problem 15 :

 230˚

Solution:

230˚ = 230˚ × (π/180˚) 

= 23π/18 radians