Date
Name
Per.
REVIEW Chapter 9: Area, Perimeter and Circumference
9.1 Triangles and Quadrilaterals
Find tile area of the polygons. Round your answer to the tenths place and write in the blanks space.
1.
2.
11 ft
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3.
4.
5.
6.
24
15\
Find tlie area of
tiiangle ABC.
25 ^ ' ^ ^
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a
7.
The area of a trapezoid is 12x - 4 in^. If one base is 2x and the height is 4 in, how long is the other
8.
Find the perimeter and area of the rectangle.
Date
Name
Per.
9.2 Circles and Polygons
9.
The circumference of a circle is 80 TT ft. F i n d the area in terms of TT.
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10. Find the area of a circle centered at (1, 1) that passes through the point (-2, 6). Round your answer
to the nearest tenth.
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11. 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.
5^.
3 ^ '
2m
12.
Look at the series of circles below with their area shown. If the pattern continues, what would be
the approximate circumference of the sixth circle in this series?
O
/\ 3.14cm^
= 12.57 cm^
28.27 cm^
= 50.27 cm^
13.
H o w do you find the measurement of the central angle of a regular polygon?
14.
H o w do you find the measurement of half the central angle of a regular polygon?
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15. Explain how you can use the area of a triangle to find the area of a regular polygon.
Find the area of the polygons. Round your answer to the tenths place and write in the blanks space.
16.
17.
18.
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Name
Date
Per,
9.5 Change in Dimensions
27.
Given: Trapezoid with base lengths 4mm and 7mm and height 9mm. What is the effect on the area
if the height is multiplied by 1/3?
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28.
A square sandbox has an area of 8 square feet. If you want to double the area, what size should you
make the sides of the new sandbox?
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29.
Given: Triangle with base 1.5m and height 6m. What is the effect on the perimeter i f the base and
height are tnpled?
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30.
Given: Rhombus with area 9cm^. What is the effect on the side length of the rhombus i f the area is
multiplied by 5?
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31.
Describe the effect on the area of a circle i f the diameter of the circle is increased by a factor of 2?
9.6 Geometric Probability
32.
Find the probability of the pointer landing on the 60° section.
33.
Find the probability of the pointer landing on the 60° or 80° section.
34.
Find the probability that a point chosen randomly inside the v'
either the small rectangle or the triangle.
i-by-F;
i rectangle w i l l be inside
17 in.
5 in
Sin.
Sin.
12 in.
n
\
4.5 in.
35.
A weather channel covers local weather 6 times per hour for a period of 2 minutes. If you turn to the
weather channel 5 times, predict how often you will catch the local weather.
36.
What is the probability that a point on line segment AD chosen at random is N O T on BD ?
^
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6
^
0
B
^
C
10
_
D
Date
Name
19.
A decagon with a perimeter of 40 in.
20.
A dodecagon with an apothem of 12cm.
Per.
21. Find the area of the shaded region to the nearest tenth. Assume that the pentagon is regular.
9.3 Composite Figures
22.Jessica is decorating a section of one wall of her kitchen with ceramic tiles. The area she is
decorating is represented by the shaded area in the diagram below. She is using 3-inch square
tiles. The tiles are sold in boxes of 100.
5 ft
H o w many boxes of tiles w i l l Jessica need to cover that section of the wall?_
24.
23.
40 ft
30 ft
25.
3 in.
26.
6m
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