Degrees/Radians 10/24

What is the correct conversion factor to use when converting from degrees to radians?

• $\frac{\pi}{180}$

• $\frac{180}{\pi}$

What direction do negative angles rotate?

• counter-clockwise ("up")

• clockwise ("down")

Convert the angle below into degrees.

 $\frac{7\pi}{18}$  

• 70°

• 1260°

• 1.2

• 0.4

What is the correct conversion factor to use when converting from radians to degrees?

• $\frac{\pi}{180}$

• $\frac{180}{\pi}$

Convert the angle below into degrees.

 $\frac{-25\pi}{12}$  

•  $4,500\degree$  

•  $-4,500\degree$  
  

•  $375\degree$  

•  $-375\degree$  
  

Convert the angle below into radians. Be sure to simplify your fraction (do not leave it as a decimal).

 $40\degree$  

•  $\frac{\pi}{45}$  

•  $\frac{2\pi}{9}$  
  

•  $2\pi$  

•  $0.7$  
  

Convert the angle below into radians. Be sure to simplify your fraction (do not leave it as a decimal).

 $-216\degree$  

•  $-\frac{\pi}{90}$  

•  $-\frac{7\pi}{60}$  
  

•  $-\frac{6\pi}{5}$  

•  $\frac{6\pi}{5}$  
  

What direction do positive angles rotate?

• counter-clockwise ("up")

• clockwise ("down")

Which of the following graphs is most likely to be the following angle? (Hint: Make sure to pay attention to the direction arc.)

 $-295\degree$  

• 
• 
• 
• 

Which of the following measurements is most likely to be the angle shown? (Hint: Make sure you pay attention to the direction of the angle.)

•  $-75\degree$  

•  $300\degree$  

•  $45\degree$  

•  $198\degree$