Converting and Understanding Radians

Convert to degrees:  $\frac{\pi}{3}$  

•  $\frac{2\pi}{540}\degree$  

•  $30\degree$  

•  $60\degree$  

•  $90\degree$  

Convert to Radians:  $210\degree$  

•  $\frac{4\pi}{3}$  

•  $\frac{3\pi}{4}$  

•  $\frac{6\pi}{7}$  

•  $\frac{7\pi}{6}$  

Convert to radians: $-160\degree$  

•  $\frac{8\pi}{9}$  

•  $-\frac{8\pi}{9}$  

•  $-\frac{9\pi}{8}$  

•  $\frac{9\pi}{8}$  

Given a circle with a radius of 13 ft. and a central angle of  $270\degree$  , what is the arc length? (round to nearest tenth)

• 60.5 ft. 

• 61.3 ft. 

• 6.8 ft. 

• 69.6 ft. 

Given a circle with a radius of 14 cm. and a central angle of  $\frac{\pi}{2}$  , what is the arc length? 

•  $\frac{\pi}{98}$  

•  $\frac{7\pi}{14}$  

•  $14\pi$  cm. 

•  $7\pi$  cm.

Given a circle with a radius of 13 ft. and a central angle of  $\frac{3\pi}{4}$  , what is the arc length?

•  $\frac{39\pi}{4}$  

•  $\frac{4}{39\pi}$  

•  $\frac{3\pi}{4}$  

•  $\frac{4\pi}{3}$