Radians/Degrees/ArcLength

Convert the following degree measure into radians:  $210^{\degree}$  

•  $\frac{35\pi}{18}$  

•  $\frac{25\pi}{18}$  

•  $\frac{7\pi}{3}$  

•  $\frac{7\pi}{6}$  

Convert the following degree measure into radians:  $-80^{\degree}$  

•  $-\frac{5\pi}{12}$  

•  $-\frac{4\pi}{9}$  

•  $-\frac{7\pi}{18}$  

•  $-\frac{17\pi}{36}$  

Convert the following degree measure into radians:  $465^{\degree}$  

•  $\frac{25\pi}{9}$  

•  $\frac{31\pi}{6}$  

•  $\frac{85\pi}{36}$  

•  $\frac{31\pi}{12}$  

Convert the following radian measure into degrees:  $-\frac{5\pi}{3}$  

•  $-290\degree$  

•  $-310\degree$  

•  $-305\degree$  

•  $-300\degree$  

Convert the following radian measure into degrees:  $\frac{\pi}{4}$  

•  $50\degree$  

•  $90\degree$  

•  $45\degree$  

•  $35\degree$  

Find the length of the arc. (Note that the angle measure is in degrees). 

•  $\frac{17\pi}{2}mi$  

•  $17\pi\ mi$  

•  $\frac{17\pi}{4}mi$  

•  $\frac{51\pi}{2}mi$  

Find the length of the arc. (Note that the angle measure is in degrees).

• $15\pi\ yd$

• $\frac{4\pi}{3}yd$

• $4\pi\ yd$

• $\frac{45\pi}{4}yd$

Find the length of the arc. (Note that the angle measure is in radians).

•  $\frac{\pi}{36}\ yd$ 

•  $8\pi\ yd$ 

• $4\pi\ yd$

•  $3\pi\ yd$ 

Find the length of the arc. (Note that the angle measure is in radians).

• $\frac{40\pi}{3}\ mi$

• $\frac{80\pi}{3}\ mi$

• $\frac{8\pi}{3}\ mi$

• $\frac{4\pi}{3}\ mi$

Find the radius given the arc length of  $15\pi$  and an angle measure of  $\frac{3\pi}{2}$ .  (Note that the angle measure is in radians).

•  $r=45mi$ 

•  $r=10\ mi$ 

•  $r=22.5\ mi$ 

•  $r=\frac{45\pi}{2}\ mi$