Chapter 11 Unit TEST: Circumference and Area Answers

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21
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A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region?

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A
(72π – 144) mm2
B
(72π – 72) mm2
C
(288π – 288) mm2
D
(288π – 144) mm2
22
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A scientist has four petri dishes of different sizes. Each dish contains a different number of bacteria.

Question illustration
A
Dish A has the lowest population density.
B
Dish C has the greatest population density.
C
Dish A and Dish B have approximately the same population density.
D
Dish C and Dish D have approximately the same population density.
23

Four circles, each with a radius of 2 inches, are removed from a square.

Question illustration
A
(16 – 4π) in.2
B
(16 – π) in.2
C
(64 – 16π) in.2
D
(64 – 4π) in.2
25

On a coordinate plane, triangle A B C has points (1, 1), (4, 0), (3, 5).

Question illustration
A
3 square units
B
7 square units
C
11 square units
D
15 square units
30

Which expressions represent the area of the entire shaded region, including the light and dark shading? Select three options.

A
12a cm2
B
2b cm2
C
(6a – b) cm2
D
(12a + 2b) cm2
E
(6a + b) cm2
35

3 shapes are combined to form a composite figure. A semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle.

Question illustration
A
as three triangles and a circle
B
as two triangles, a rectangle, and a circle
C
as a triangle, a pentagon, and a semicircle
D
as a triangle, a rectangle, and a semicircle
36

A Ferris wheel has a diameter of 42 feet. It rotates 3 times per minute. Approximately how far will a passenger travel during a 5-minute ride?

A
132 feet
B
659 feet
C
1,978 feet
D
3,956 feet
37

A composite figure is comprised of a square, trapezoid, and a rectangle. The square has side lengths of 10 centimeters. The trapezoid has base lengths of 8 centimeters and 14 centimeters. The height of the trapezoid is 4 centimeters. The rectangle has side lengths of 20 centimeters and 6 centimeters.

Question illustration
A
262 cm2
B
264 cm2
C
266 cm2
D
268 cm2
38

A section of a rectangle is shaded to form a trapezoid. The lengths of the 2 bases are 7 and x. The length of a side that forms a right angle with side x is 7.

Question illustration
A
9 units
B
11 units
C
18 units
D
21 units
39

Circle O has a circumference of 36π cm.

Question illustration
A
6 cm
B
18 cm
C
36 cm
D
72 cm
40

A regular pentagon is shown.

Question illustration
A
5.88 cm
B
8.09 cm
C
12.36 cm
D
17.01 cm

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