AnswersReading HS- Integrated Math IInteractive: Circle Constructions

Interactive: Circle Constructions — Unit test Answers

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Analyze the diagram below and complete the instructions that follow. The figure shows secant and tangent intersecting to form an angle. Find and . If necessary, round to the tenths place. A. B. C. D. Please select the best answer from the choices provided

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A
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B
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C
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D
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The diameter of one circle is represented by 12x. The diameter of another circle is represented by . What is the ratio of the radii of the two circles?

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A
mc024-2.jpg
Option A
B
2x:y
C
x:2y
D
2:xy
3

Analyze the diagram below and complete the instructions that follow. Given that and OP = 10, find the diameter of . Round the answer to the hundredths place.

Question illustration
A
6.40
B
11.06
C
12.81
D
13.71
4

Analyze the diagram below and complete the instructions that follow. If is a diameter of and , find . A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
5

Analyze the diagram below and complete the instructions that follow. Find x, y, and z.

Question illustration
A
x = 48, y = 71, z = 100
B
x = 71, y = 71, z = 50
C
x = 142, y = 71, z = 100
D
x = 142, y = 142, z = 100
6

If the scale factor between two circles is , what is the ratio of their areas?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
7

Analyze the diagram below and complete the instructions that follow.In the diagram, is tangent to the circle, , and . Find AD. A. B. C. D. Please select the best answer from the choices provided

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A
B
B
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C
D
D
8

Analyze the diagram below and complete the instructions that follow.In the bull's-eye shown above, , and . Calculate the area of the red ring of the bull's-eye. Round the answer to the nearest tenth.

Question illustration
A
28.3 in.²
B
60.75 in.²
C
63.6 in.²
D
190.9 in.²
9

Analyze the diagram below and complete the instructions that follow.Tangent and secant intersect at point V. Find the length of . Round the answer to the nearest tenth, if needed.

Question illustration
A
9.9
B
14
C
19.8
D
98
10

Analyze the diagram below and answer the question that follows. What is the value of x?

Question illustration
A
5
B
10
C
13
D
15
11

Analyze the diagram below and complete the instructions that follow.Secant intersects secant at point D. Find the length of .

Question illustration
A
0
B
1
C
3
D
9
12

A university would like to create a circular eating area with picnic tables. The eating area will have small plants that make a path to create individual sections that form sectors. The angle formed by the plants is , and the radius is r = 9m. Find the area of each sector. A. B. C. D. Please select the best answer from the choices provided

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A
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B
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C
D
D
13

Analyze the diagram below and complete the instructions that follow. C is the center of the circle. Find the length of . A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
14

A chord contains at most how many radii?

A
0
B
1
C
2
D
3
15

Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?

A
Connect all six points on the circle.
B
Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.
C
Construct two diameters using the points where the arc intersects the circle and the center.
D
Connect the endpoints of the two diameters.
16

Analyze the diagram below and complete the instructions that follow.Chord intersects chord at point G. Find the length of . If necessary, round to the nearest tenth.

Question illustration
A
8.75
B
11.4
C
20
D
22.4
17

The diagram below shows the partial construction of which shape?

Question illustration
A
a regular hexagon inscribed in a circle
B
an equilateral triangle inscribed in a circle
C
a square inscribed in a circle
D
a similar circle inscribed in a circle
18

Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y. A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
19

A pizza 16 inches in diameter is cut into 8 congruent slices. Find the area of the sector of one piece of pizza.

A
25.12 in.²
B
31.40 in.²
C
50.24 in.²
D
200.96 in.²
20

Analyze the diagram below and complete the instructions that follow. Find. A. B. C. D. Please select the best answer from the choices provided

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A
B
B
C
C
D
D

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