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Trig Section 3.4 Quiz

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

For the problem below, mc001-1.jpg is a central angle in a circle of radius r. Find the length of arc s cut off by mc001-2.jpg.

mc001-3.jpg mm.
a.
s = 2.62 mm
b.
s = 2.82 mm
c.
s = 4 mm
d.
s = 6 mm
e.
s = 2.52 mm
 

 2. 

For the problem below, mc002-1.jpg is a central angle in a circle of radius r. Find the length of arc s cut off by mc002-2.jpg.

mc002-3.jpg inches.
a.
s = 29 inches
b.
s = 27.5 inches
c.
s = 30 inches
d.
s = 26.5 inches
e.
s = 29.5 inches
 

 3. 

The current San Francisco cable railway is driven by two large 16-foot-diameter drive wheels, called sheaves. Because of the figure-eight system used, the cable subtends a central angle of mc003-1.jpg on each sheave. Find the length of cable riding on one of the drive sheaves at any given time.

mc003-2.jpg
a.
38.7 feet
b.
35.7 feet
c.
40.7 feet
d.
37.7 feet
e.
33.7 feet
 

 4. 

The figure is a model of George Ferris's Ferris wheel. The diameter of the wheel is 248 feet; and mc004-1.jpg is the central angle formed as a rider travels from his or her initial position mc004-2.jpg to position mc004-3.jpg. Find the distance traveled by the rider if mc004-4.jpg.

mc004-5.jpg
a.
462.1 ft
b.
467.1 ft
c.
466.1 ft
d.
463.1 ft
e.
461.1 ft
 

 5. 

A Ferris Wheel called Colossus has a diameter of 165 feet. Using the figure as a model, find the distance traveled by someone starting at initial position mc005-1.jpg and moving to position mc005-2.jpgif mc005-3.jpg

mc005-4.jpg
a.
214.0 feet
b.
219.0 feet
c.
220.0 feet
d.
217.0 feet
e.
216.0 feet
 

 6. 

mc006-1.jpg is a central angle that cuts off an arc of length s. Find the radius of the circle if mc006-2.jpgft.
a.
0.17 ft
b.
0.3 ft
c.
0.2 ft
d.
0.6 ft
e.
0.18 ft
 

 7. 

mc007-1.jpg is a central angle that cuts off an arc of length s. Find the radius of the circle if mc007-2.jpgkm .
a.
2.05 km
b.
1.95 km
c.
1.85 km
d.
2.25 km
e.
2.15 km
 

 8. 

Find the area of the sector formed by central angle mc008-1.jpg in a circle of radius mc008-2.jpg inches.
a.
20.8 inchesmc008-3.jpg
b.
21.2 inchesmc008-4.jpg
c.
20.6 inchesmc008-5.jpg
d.
20.5 inchesmc008-6.jpg
e.
20.7 inchesmc008-7.jpg
 

 9. 

A sector of area mc009-1.jpg inmc009-2.jpg is formed by a central angle of 45mc009-3.jpg. What is the radius of the circle?
a.
1.01 inches
b.
1.03 inches
c.
1.02 inches
d.
1.07 inches
e.
1.00 inches
 

 10. 

A lawn sprinkler is located at the corner of a yard. The sprinkler is set to rotate through 90mc010-1.jpg and project water out 52 feet. What is the area (rounded to three significant digits) of the yard watered by the sprinkler?
a.
2,120 feetmc010-2.jpg
b.
2,080 feetmc010-3.jpg
c.
2,100 feetmc010-4.jpg
d.
2,090 feetmc010-5.jpg
e.
2,130 feetmc010-6.jpg
 



 
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