Circles — Test Answers

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Which equation results from applying the secant and tangent segment theorem to the figure?

A
12 times open paren A plus 12 close paren is equal to 10 squared
B
10 times open paren A plus 10 close paren is equal to 12 squared
C
10 times 12 is equal to A squared
D
10 plus 12 is equal to A squared
3

What is the measure of angle cap c ?

A
152 degrees
B
90 degrees
C
76 degrees
D
38 degrees
4

Which segments are congruent?

A
line segment EH and line segment EF
B
line segment GH and line segment FE
C
line segment EF and line segment GF
D
line segment FG and line segment EH
8

Consider a circle whose equation is x squared plus y squared minus 2 x minus 8 is equal to 0 Which statements are true? Choose three correct answers.

A
The center of the circle lies on the x -axis.
B
The standard form of the equation is open paren x minus 1 close paren squared plus y squared is equal to 3 .
C
The radius of this circle is the same as the radius of the circle whose equation is x squared plus y squared is equal to 9 .
D
The radius of the circle is 3 units.
E
The center of the circle lies on the y -axis.
9

Which equation represents the circle described? The radius is 2 units. The center is the same as the center of a circle whose equation is x squared plus y squared minus 8 x minus 6 y plus 24 is equal to 0

A
open paren x plus 4 close paren squared plus open paren y plus 3 close paren squared is equal to 2 squared
B
open paren x minus 4 close paren squared plus open paren y minus 3 close paren squared is equal to 2 squared
C
open paren x plus 4 close paren squared plus open paren y plus 3 close paren squared is equal to 2
D
open paren x minus 4 close paren squared plus open paren y minus 3 close paren squared is equal to 2
10

Which statements about circle cap o are true? Choose three correct answers.

A
angle LMP intercepts a semicircle.
B
The diameter of circle cap o is 34 .
C
The radius of circle cap o is 13 .
D
line segment LP is a diameter of circle cap o .
E
The measure of arc LP is 90 degrees .
11

What is the length of segment NP ?

A
1 unit
B
4 units
C
3 units
D
2 units
12

What is the approximate length of arc QR ? Round to the nearest tenth of a centimeter.

A
9 point 9 centimeters
B
43 point 0 centimeters
C
21 point 5 centimeters
D
19 point 9 centimeters
13

What is the measure of angle BCD ?

A
106 degrees
B
37 degrees
C
74 degrees
D
53 degrees
14

The measure of central angle ABC is (π)/(2) radians. What is the area of the shaded sector?

A
6 pi units squared
B
9 pi units squared
C
18 pi units squared
D
36 pi units squared
15

In the diagram of circle cap A , what is m angle LMN ?

A
120 degrees
B
75 degrees
C
90 degrees
D
135 degrees
16

What is the measure of overarc PQ ?

A
33 degrees
B
24 degrees
C
48 degrees
D
66 degrees
17

In circle cap c , r is equal to 32 units. What is the area of circle cap c ?

A
32 pi units squared
B
1024 pi units squared
C
256 pi units squared
D
64 pi units squared
18

In circle cap o , what is m angle MAJ ?

A
125 degrees
B
50 degrees
C
250 degrees
D
55 degrees
19

What is the measure of arc QR ?

A
26 degrees
B
104 degrees
C
128 degrees
D
52 degrees
20

What is the length of line segment JG ?

A
4 units
B
5 units
C
9 units
D
6 units

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