2. CLOCKS Shiat su is a Japanese massage technique. One of the beliefs is that various body functions are most active at varius times during the day. Tn illustrate this, they use a Chinese clock that is haved on a circle divided into 12 equal sections by radi. GB LIV TW LU PC LI KID ST BL. SP SI HT What is the measure of any one of the 12 equal central angles?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ao M O
*NX O 7 44% Ô 11:56 PM
+ arc3.pdf
NAME
DATE
PERIOD
10-2 Word Problem Practice
Measuring Angles and Arcs
1. CONDIMENTS A number of people in a park were
asked to name their favorite condiment for hot dogs.
The results are shown in the circle graph.
4. RIBBONS Cora is wrapping a ribbon around a
cylinder-shaped gift box. The box has a diameter of
15 inches and the ribbon is 60 inches long. Cora is
ahle to wrap the rihhon all the way aniund the hox
mce, and then continue so that the second end of the
Ketchup
198
ribbn passes the lirst end. What is the central angle
formed between the cnds of the ribbon? Round your
answer to the nearest tenth of a degree.
Other 4.6
Mustard Mayonnaise 16.1
Reish
29.4
°
111.9
What was the second most popular hot dog
condiment?
2. CLOCKS Shiatsu is a Japanese massage technique.
One of the beliefs is that various body functions are
most active at various times during the day. Tn
illustrate this, they use a Chinese clock that is hased
on a circle divided into 12 equal sections by radii.
5. BIKE WHEELS Lucy has to buy a new wheel for
her hike. The hike wheel has a diameter ol 20 inches.
a. If Lucy rolls the wheel one complete rotation along
the ground, how far will the wheel travel? Round
your answer to the nearest hundredth of an inch
CIB LIV
TW
LU
PC
LI
alhe
KID
ST
b. If the bike wheel is rolled along the ground so that
it rotates 45", how lar will the wheel travel? Round
BL.
ST HT
SP
your answer to the nearest hundredth of an inch.
What is the measure of any one of the 12 equal
central angles?
e. Il the hike wheel is malled along the gruund lur 10
inches, through what angle does the wheel rotate?
Round your answer to the nearest tenth of a degree.
3. PIES Yolanda has divided a cicular apple pie into 4
slices by cutting the pie along 4 radii. The central
angles of the 4 slices are 3x, 6r – 10, 4x + 10, and Sr
degrees. What exactly are the numerical measures of
the central angles?
Chapter 10
15
Gioncoe Goomatry
Transcribed Image Text:ao M O *NX O 7 44% Ô 11:56 PM + arc3.pdf NAME DATE PERIOD 10-2 Word Problem Practice Measuring Angles and Arcs 1. CONDIMENTS A number of people in a park were asked to name their favorite condiment for hot dogs. The results are shown in the circle graph. 4. RIBBONS Cora is wrapping a ribbon around a cylinder-shaped gift box. The box has a diameter of 15 inches and the ribbon is 60 inches long. Cora is ahle to wrap the rihhon all the way aniund the hox mce, and then continue so that the second end of the Ketchup 198 ribbn passes the lirst end. What is the central angle formed between the cnds of the ribbon? Round your answer to the nearest tenth of a degree. Other 4.6 Mustard Mayonnaise 16.1 Reish 29.4 ° 111.9 What was the second most popular hot dog condiment? 2. CLOCKS Shiatsu is a Japanese massage technique. One of the beliefs is that various body functions are most active at various times during the day. Tn illustrate this, they use a Chinese clock that is hased on a circle divided into 12 equal sections by radii. 5. BIKE WHEELS Lucy has to buy a new wheel for her hike. The hike wheel has a diameter ol 20 inches. a. If Lucy rolls the wheel one complete rotation along the ground, how far will the wheel travel? Round your answer to the nearest hundredth of an inch CIB LIV TW LU PC LI alhe KID ST b. If the bike wheel is rolled along the ground so that it rotates 45", how lar will the wheel travel? Round BL. ST HT SP your answer to the nearest hundredth of an inch. What is the measure of any one of the 12 equal central angles? e. Il the hike wheel is malled along the gruund lur 10 inches, through what angle does the wheel rotate? Round your answer to the nearest tenth of a degree. 3. PIES Yolanda has divided a cicular apple pie into 4 slices by cutting the pie along 4 radii. The central angles of the 4 slices are 3x, 6r – 10, 4x + 10, and Sr degrees. What exactly are the numerical measures of the central angles? Chapter 10 15 Gioncoe Goomatry
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