Chapter 11 Unit TEST: Circumference and Area Answers

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41
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The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.

Question illustration
A
State A had approximately 1,533 more earthquakes than State B.
B
State B had approximately 1,533 more earthquakes than State A.
C
State A had approximately 3,362 more earthquakes than State B.
D
State B had approximately 3,362 more earthquakes than State A.
42
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Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.

Question illustration
A
Each area is equal to half of the area of ABCD.
B
The area of AXYD is less than the area of BXYC.
C
The area of AXYD is greater than the area of BXYC.
D
Each area is equal to the area of ABCD.
43

The regular hexagon has a radius of 4 in.

Question illustration
A
24 in.2
B
42 in.2
C
48 in.2
D
84 in.2
44

On a coordinate plane, triangle A B C and parallelogram G H J K are shown. Triangle A B C has points (2, 0), (1, negative 6), (negative 2, negative 4). Parallelogram G H J K has points (0, 0), (1, 2), (negative 2, 4), and (negative 3, 2).

Question illustration
A
The area of △ABC is 2 square units greater than the area of parallelogram GHJK.
B
The area of △ABC is 1 square unit greater than the area of parallelogram GHJK.
C
The area of △ABC is equal to the area of parallelogram GHJK.
D
The area of △ABC is 1 square unit less than the area of parallelogram GHJK.
45

On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0).

Question illustration
A
24 square units
B
26 square units
C
32 square units
D
38 square units
46

The area of the regular pentagon is 6.9 cm2.

Question illustration
A
2 cm
B
5 cm
C
10 cm
D
20 cm
47

A section of a rectangle is shaded to form a rhombus. The length of one side of the rectangle is 15, and the height is x.

Question illustration
A
4 units
B
6 units
C
8 units
D
9 units
48

On a coordinate plane, parallelogram R S T U has points (negative 3, 2), (4, negative 1), (4, negative 4), and (negative 3, negative 1).

Question illustration
A
21 square units
B
24 square units
C
28 square units
D
32 square units
49

An equilateral triangle has an apothem measuring 2.16 cm and a perimeter of 22.45 cm.

Question illustration
A
2.7 cm2
B
4.1 cm2
C
16.2 cm2
D
24.2 cm2
50

An area reserved for a parking lot is 80 feet long and 77 feet wide. The stalls of the lot are at 90° angles to two one-way aisles. Each aisle is 80 feet by 10 feet. The three areas set aside for the parking spaces are congruent rectangles.

Question illustration
A
10
B
30
C
35
D
40
51

On a coordinate plane, triangle L M N has points (negative 1, 2), (negative 1, negative 4), and (3, negative 4).

Question illustration
A
12 square units
B
14 square units
C
15 square units
D
24 square units
52

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, negative 3).

Question illustration
A
10 square units
B
12 square units
C
20 square units
D
24 square units
53

A circle is shown. 4 radii are drawn. Chords are drawn to connect the radii points on the circle to form 2 triangles. The triangles have base lengths of 6 centimeters and the other 2 sides have lengths of 5 centimeters. The distance between the base of the triangle to the outline of the circle is 1 centimeter. Everything around the triangles is shaded.

Question illustration
A
(25π – 48) cm2
B
(25π – 30) cm2
C
(25π – 24) cm2
D
(25π – 12) cm2
54

Consider circle Y with radius 3 m and central angle XYZ measuring 70°.

Question illustration
A
1.8 meters
B
3.7 meters
C
15.2 meters
D
18.8 meters
55

A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters.

Question illustration
A
(2π + 28) mm2
B
(2π + 32) mm2
C
(2π + 40) mm2
D
(2π + 48) mm2
56

In circle P, diameter QS measures 20 centimeters.

Question illustration
A
9.9 centimeters
B
19.9 centimeters
C
21.5 centimeters
D
43.0 centimeters
57

A rectangular pool has side lengths of 12 yards and 6 yards. An octagon is drawn around the pool. The octagon has 2 sides with lengths 12 yards, and 6 sides with lengths 6 yards. The area between the rectangle and the octagon is shaded.

Question illustration
A
176 square yards
B
196 square yards
C
208 square yards
D
280 square yards

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