Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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For the problem below, is a central angle in a circle
of radius r. Find the length of arc s cut off by . mm.
a. | s = 2.62 mm | b. | s = 2.82 mm | c. | s = 4
mm | d. | s = 6 mm | e. | s = 2.52
mm |
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2.
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For the problem below, is a central angle in a circle
of radius r. Find the length of arc s cut off by . inches.
a. | s = 29 inches | b. | s = 27.5 inches | c. | s = 30
inches | d. | s = 26.5 inches | e. | s = 29.5
inches |
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3.
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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 on each sheave. Find the length of cable riding
on one of the drive sheaves at any given time.
a. | 38.7 feet | b. | 35.7 feet | c. | 40.7
feet | d. | 37.7 feet | e. | 33.7 feet |
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4.
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The figure is a model of George Ferris's Ferris wheel. The diameter of the
wheel is 248 feet; and is the central angle formed as a rider travels
from his or her initial position to position . Find the
distance traveled by the rider if .
a. | 462.1 ft | b. | 467.1 ft | c. | 466.1
ft | d. | 463.1 ft | e. | 461.1 ft |
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5.
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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 and moving to
position if
a. | 214.0 feet | b. | 219.0 feet | c. | 220.0
feet | d. | 217.0 feet | e. | 216.0 feet |
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6.
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is a central angle that cuts off an arc of
length s. Find the radius of the circle if ft.
a. | 0.17 ft | b. | 0.3 ft | c. | 0.2
ft | d. | 0.6 ft | e. | 0.18 ft |
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7.
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is a central angle that cuts off an arc of
length s. Find the radius of the circle if km .
a. | 2.05 km | b. | 1.95 km | c. | 1.85
km | d. | 2.25 km | e. | 2.15 km |
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8.
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Find the area of the sector formed by central angle in a circle of
radius inches.
a. | 20.8 inches | b. | 21.2 inches | c. | 20.6 inches | d. | 20.5 inches | e. | 20.7 inches |
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9.
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A sector of area in is formed by a central angle
of 45 . 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 |
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10.
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A lawn sprinkler is located at the corner of a yard. The sprinkler is set to
rotate through 90 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 feet | b. | 2,080 feet | c. | 2,100 feet | d. | 2,090 feet | e. | 2,130 feet |
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