Degrees and Radians

Degrees and Radians

Review

Angle Movement and Location

Review

Multiple Choice

How many degrees are in one revolution?

• $90\degree$

• $360\degree$

• 180

Multiple Choice

How many radians are in one revolution?

• $\pi$

• $\frac{\pi}{2}$

• $2\pi$

Converting Degrees into radians

• Going from degrees to $\pi$   

• Step 1: multiply by  $\pi$  equivalent. In other words multiply by the ratio  $\frac{\pi}{180}$ .

• Step : Simplify fraction. 

Multiple Choice

How many radians are in $60\degree$ ?

•  $\frac{\pi}{2}$  

•  $\frac{3\pi}{2}$  

•  $\frac{\pi}{3}$   

Multiple Choice

How many radians are in $45\degree$   ?

•  $\pi$  

•  $\frac{\pi}{3}$  

•  $\frac{\pi}{4}$  

Multiple Choice

How many radians are in $135\degree$   ?

•  $\pi$  

•  $\frac{3\pi}{4}$  

•  $\frac{4\pi}{3}$  

Converting Radians to degrees

• Going from radians to degrees

• Step 1: Multiply by degree equivalent.  $\frac{180\degree}{\pi}$  

Multiple Choice

How many degrees are in $\frac{\pi}{4}$   radians?

•  $30\degree$  

•  $45\degree$  

•  $60\degree$  

Multiple Choice

How many degrees are in $\frac{2\pi}{3}$   radians?

•  $90\degree$  

•  $120\degree$  

•  $150\degree$  

Multiple Choice

How many degrees are in $\frac{5\pi}{4}$   radians?

•  $270\degree$  

•  $225\degree$  

•  $180\degree$  

Poll

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