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Angles and Their Attributes

Total questions: 5

Worksheet time: 11mins

Name
Class
Date
1.

The above rotation of a ray about its endpoint determines an angle of

 120°120\degree . Find positive and negative coterminal angles.

a)

240, -480

b)

0, 360

c)

60, -240

d)

-240, 480

2.

The same rotation  (θ=120°)\left(\theta=120\degree\right)  was performed with a ray that measured 7\ m  in length. How long is the arc?

a)

Between  8\ m  and 9\ m  

b)

Between  10\ m  and  11\ m  

c)

Between  12 m12\ m  and  13 m13\ m  

d)

Between  14\ m  and  15\ m   

3.

An angle is co-terminal with another angle when they both start and end at the same side. Convert  25π6\frac{25\pi}{6}  to a co-terminal angle.

a)

 13.08°13.08\degree  

b)

 510°510\degree  

c)

 750°-750\degree  

d)

 30°30\degree  

4.

The hand of a clock is  7 in7\ in  long and extends to the edge. If  2525  minutes pass by, how much of the circumference has been covered? (You may use a calculator.)

a)

 18.33 in18.33\ in  

b)

 17.66 in17.66\ in  

c)

 3.57 in3.57\ in  

d)

 36.65 in36.65\ in  

5.

How many radians does it take to screw in a lightbulb? Assume that it requires  3123\frac{1}{2}  revolutions.

a)

 312π3\frac{1}{2}\pi  

b)

 227\frac{22}{7}  

c)

 22π22\pi  

d)

 7π7\pi