Radian Measure

Radian Measure (not finished yet!!)

Multiple Choice

convert 150 $\degree$  to radians.  Leave your answer in terms of  $\pi$  

•  $\frac{5\pi}{6}$  

•  $\frac{6\pi}{5}$  

•  $\frac{3\pi}{4}$  

•  $\frac{4\pi}{3}$  

•  $\frac{5\pi}{8}$  

Multiple Choice

convert 174 $\degree$  to radians.  Give your answer as a decimal.

• 55.38

• 2.47

• 0.967

• 9969.46

• 3.04

Multiple Choice

convert  $\frac{\pi}{4}$ radians  to degrees.  Leave your answer in terms of  $\pi$  

• 45 $\pi$  

• 45

•  $\frac{720}{\pi}$  
  

•   $\frac{\pi}{720}$  

•  $\frac{5\pi}{8}$  

Multiple Choice

convert 3 radians  to degrees.  Give your answers in decimal form.

• 0.05

• 171.89

•  60
  

•  167.58

• 77.28

Multiple Choice

If  $\theta$  is measured in radians, solve for A.

• 7.5

• 5/3

• 15

• 3

• 5

Multiple Choice

If  $\theta$  is measured in radians, solve for  $\theta$  

• 7.5

• 5/3

• 15

• 3

• 5

Multiple Choice

If  $\theta$  is measured in radians, solve for r

• 1.5

• 9.3

• 65.3

• 14

• 12.3

Multiple Choice

If  $\theta$  is measured in radians, solve for A

• 1.5

• 9.3

• 65.3

• 14

• 12.3

Multiple Choice

If  $\theta$  is measured in radians, solve for r

• 3

• 6

• 9

• 12

• 3.2

Multiple Choice

If  $\theta$  is measured in radians, solve for s

• 3

• 6

• 9

• 12

• 3.2

Multiple Choice

The radius of a circle is 1. What is the length of an arc that subtends an angle of  $\frac{\pi}{8}$  radians?

•  $\frac{\pi}{8}$  

•  $\frac{8}{\pi}$  
  

• 22.5

• 45

•  $\frac{\pi}{4}$  

Multiple Choice

The radius of a circle is 5km. What is the length of an arc that subtends an angle of  $\frac{\pi}{6}$  radians?

•  $\frac{5\pi}{6}$  

•  $\frac{6\pi}{5}$  
  

•  $\frac{\pi}{30}$  

•  $150\pi$  

•  $\frac{\pi}{6}$  

Multiple Choice

The radius of a circle is 5km. What is the length of an arc that subtends an angle of  $\frac{\pi}{6}$  radians?

•  $\frac{5\pi}{6}$  

•  $\frac{6\pi}{5}$  
  

•  $\frac{2\pi}{3}$  

•  $\frac{3\pi}{2}$  
  

•  $\frac{9\pi}{5}$  

Multiple Choice

The radius of a circle is 6. What is the length of an arc that subtends an angle of  $\frac{19\pi}{12}$  radians?

•  $\frac{19\pi}{2}$  
  

•  $\frac{19\pi}{12}$  
  

•  $114\pi$  
  

•  $\frac{15\pi}{12}$  

•  $\frac{12\pi}{9}$  

Multiple Choice

The radius of a circle is 6. What is the measure, in radians, of an angle subtended by an arc  $\pi$  long?

•  $\frac{\pi}{6}$  

•  $\frac{6}{\pi}$  
  

•  $\frac{3\pi}{2}$  
  

•  $\frac{2\pi}{3}$  
  

•  $6\pi$  

Multiple Choice

The radius of a circle is 12 miles. What is the measure, in radians, of an angle subtended by an arc  $\frac{108\pi}{5}$  long?

•  $\frac{9\pi}{5}$  
  

•  $\frac{108\pi}{9}$  
  

•  $\frac{60\pi}{5}$  
  

•  $\frac{5\pi}{12}$  
  

•  $\frac{12\pi}{5}$