Trig 2.1

Trig 2.1

Angles and Their Measure

Multiple Choice

Quick Check

A positive angle is measured

• Clockwise

• Counter Clockwise

Fill in the Blank

Try it for yourself!

 Let

 $r=6\ ft$  and  $\theta\ =2\ radians$  find the arclength,  $s.$  

Multiple Choice

Convert the following from degrees to radians. 

 $30\degree$  

•  $\frac{\pi}{6}$  

•  $\frac{30\pi}{180}$  

•  $\frac{5400}{\pi}$  

•  $\frac{\pi}{12}$  

Fill in the Blank

Convert the following from radians to degrees:

 $\frac{5\pi}{4}$  radians = _______ $\degree$  

Fill in the Blank

A wind machine used to generate electricity has blades that are 10 feet in length. The propeller is rotating at four revolutions per second. Find the linear speed, in feet per second, of the tips of the blades. Round the answer to 2 decimal places.

(Hint. If the length of the blades is 10, what would the radius of the circle formed by the spinning blades be?)