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Area
505050
40404040
3030303030
2020202020
1010101010
Area Probability
Segment Probability
Area of Segment
Area of Sector
Area of Circle
3.6 m
96.12
)6.3( 2
2
A
A
rA
Find the area of the circle. Leave your answer in terms of .
Find the area of the circle. Leave your answer in terms of .
4.1 m
2.4
)05.2( 2
2
A
A
rA
Find the area of the circle. Use π = 3.14.
15.4
)15.1( 2
2
A
A
rA
Find the area of the circle. Use π = 3.14.
3.11
)9.1( 2
2
A
A
rA
The figure represents the overhead view of a deck surrounding a hot tub. What is the area of
the deck? Round to the nearest tenth.
3.7
)7.2( 2
2
A
A
rA
Small
01.24
)9.4(
arg
2
2
A
A
rA
eL
5.52
9.224.75
3.701.24
arg
SmalleL
Find the area of the figure to the nearest tenth.
9105°
measure of arc360°
2r
8.73
5.25429.
8129.
)9(360105 2
Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm.
Round to the nearest tenth.
measure of arc360°
2r
3.12
6.245.
84.75.
)8.2(360
180 2
Find the area of sector ZOM. Leave your answer in terms of π.
measure of arc360°
2r
80
4002.
)20(36072 2
Find the area of sector ACB. Leave your answer in terms of π.
100°
AA
CCBB
2
360r
mACB 6 m
2)6(360100
10
50
Find the area of the shaded portion of the figure. Dimensions are in feet. Round your
answer to the nearest tenth.
68
)17(4
)98)(8(21
)(21
21
A
A
A
bbhA
Trapezoid
16
)4( 2
2
A
A
rA
Circle
8.17
24.5068
1668
A
A
A
Shaded
Find the area of the triangle. Leave your answer in simplest radical form.
10 cm 10 cm
18 cm
Not drawn to scale
Find height.
19
19
10081
109
2
2
222
222
b
b
b
b
cba
199
)19)(18(2121
A
A
bhA
Find the area of the shaded segment. Round your answer to the nearest tenth.
Find the area of sector AOB.Find the area of sector AOB.
Find the area of ∆ AOB.Find the area of ∆ AOB.
Find the area of the segment.Find the area of the segment.
The area of the segment The area of the segment is about 28.5 in.is about 28.5 in.22
Find the exact area of the shaded region.
measure of arc360°
2r1.) Find the area of the sector.
2.597
6.180933.
57633.
)24(360120 2
2.) Find the area of the triangle.
60°
30°
24hyp.=2•SL
24=2•SL
12=SL
LL=√3•SL
LL=12√3
3144
)324)(12(2121
A
A
bhA
3.) Subtract597.2 - 144√3
597.2 - 249.4
348
A circle has a radius of 24 ft. Find the are of the A circle has a radius of 24 ft. Find the are of the smaller segment of the circle determined by a smaller segment of the circle determined by a
120° arc. Round your answer to the nearest tenth.120° arc. Round your answer to the nearest tenth.
Find the area of the sector.Find the area of the sector.
Find the area of ∆ AOB.Find the area of ∆ AOB.
Find the area of the segment.Find the area of the segment.
The area of the segment The area of the segment is about 353.5 ft.is about 353.5 ft.22
2)24(360120
57631
192
)12)(324(21
4.249
4.249192
24 24120°60°
hyp.= 2•SL
24=2•SL
12=SL
LL=√3•SL
LL=√3•12
LL=12√3
48.353
0 1 2 3 4 5 6 7 8 90
A B C D E F G H I J K
Find the probability that a point chosen at random from is on the segment
107
1029
AKCJ
possiblefavorable
Lenny’s favorite radio station has this schedule: news 13 min, commercials 2 min, music 45 min. If Lenny chooses a time of day at random to turn on the radio to his favorite station, what is the probability that the news will be on?
6013
totalnews
possiblefavorable
What is the probability that a point chosen at random on the grid will lie in the
unshaded region?
85
6440
totalunshaded
possible
favorable
40
A fly lands at a random point on the ruler's edge. Find the probability that the point is between 3 and 7.
P(landing between 3 and 7) = = =
7-3=47-3=4
Anna's bus runs every 25 minutes. If she arrives at her bus stop at a random time, what is the probability that she will
have to wait at least 10 minutes for the bus?
Assume that a stop takes very little time, and let represent the 25 minutes between buses. If Anna arrives at any time between A and C, she has to wait at least 10 minutes until B.
P(waiting at least 10 min) = = , or The probability that Elena will have to wait at least 10
minutes for the bus is or 60%.
If a dart hits the target at random, what it the probability that it will land in the shaded region?
91
364
)6()2(
2
2
possiblefavorable
The radius of the bull’s-eye of the dartboard is 8 inches. The radius of each concentric circle is 8 inches more than the radius of the circle inside it. If a dart lands at random on the dartboard, what is the probability that the dart will hit in area C?
A B C D
165
1024320
1024256576
)32()16()24(
2
22
possiblefavorable
The probabilities of hitting the blue, yellow, and red The probabilities of hitting the blue, yellow, and red regions are about 2.2%, 6.5%, and 10.9%, respectively.regions are about 2.2%, 6.5%, and 10.9%, respectively.
30
Assume that a dart you throw will land on the 1-ft square dartboard and is equally likely to land at any point on the board. Find the probability of hitting each of the blue, yellow, and red regions. The radii of the concentric circles are 1, 2, and 3 inches, respectively.
40
50
