AnswersGeometryRelationships of Circles

Relationships of Circles — Test Answers

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1
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What is the measure of angle cap c ?

A
152 degrees
B
76 degrees
C
38 degrees
D
90 degrees
2
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Does the point 1 comma square root of 7 lie on the circle shown? Explain.

A
Yes, the distance from negative 2 comma 4 to 1 comma square root of 7 is 4 units.
B
No, the distance from negative 2 comma 0 to 1 comma square root of 7 is not 4 units.
C
Yes, the distance from negative 2 comma 0 to 1 comma square root of 7 is 4 units.
D
No, the distance from negative 2 comma 4 to 1 comma square root of 7 is not 4 units.
3

What is the approximate length of the diameter, d ?

A
250 ft
B
40 ft
C
80 ft
D
125 ft
4

Point cap g is the center of the small circle. Point cap x is the center of the large circle. Points cap g , cap h , and cap x are on line segment GX What would be the area of a new circle that has line segment GX as its diameter?

A
36 pi cm squared
B
16 pi cm squared
C
49 pi cm squared
D
98 pi cm squared
5

What is the measure of angle ABC ?

A
36 degrees
B
72 degrees
C
43 degrees
D
144 degrees
6

The measure of central angle RST is pi radians. What is the area of the shaded sector?

A
8 pi units squared
B
16 pi units squared
C
4 pi units squared
D
20 pi units squared
7

Which statements about the figure are true? Choose two correct answers.

A
The length of line segment TR is 10 units.
B
line segment TU is congruent to line segment TS
C
The length of line segment PR is 13 units.
D
line segment PU is congruent to line segment TU
E
The perimeter of the triangle is 19 units.
8

What is the measure of angle cap r ?

A
97 degrees
B
37 degrees
C
53 degrees
D
90 degrees
9

What is the measure of arc EF in circle cap h ?

A
41 degrees
B
114 degrees
C
50 degrees
D
173 degrees
10

What is the measure of arc ECF in circle cap g ?

A
177 degrees
B
158 degrees
C
98 degrees
D
52 degrees
11

Triangle JKL is equilateral. One side of the triangle, line segment JL , is a diameter of circle cap m Which is true about line segments JK and KL ?

A
Neither segment is a chord or tangent to circle cap m .
B
Both segments are chords in circle cap m but are not tangents.
C
One segment is tangent to circle cap m and one segment is a chord in circle cap m .
D
Both segments are tangent to circle cap m but are not chords.
12

Which equation represents a circle with the same radius as the circle shown but with a center at negative 1 comma 1 ?

A
open paren x plus 1 close paren squared plus open paren y minus 1 close paren squared is equal to 16
B
open paren x plus 1 close paren squared plus open paren y minus 1 close paren squared is equal to 4
C
open paren x minus 1 close paren squared plus open paren y plus 1 close paren squared is equal to 4
D
open paren x minus 1 close paren squared plus open paren y plus 1 close paren squared is equal to 16
13

What is the area of the shaded sector of the circle?

A
180 pi units squared
B
400 pi units squared
C
20 pi units squared
D
40 pi units squared
14

Which completes the work correctly?

A
open paren x plus 3 close paren squared plus open paren y plus 2 close paren squared is equal to 4 squared , so the center is negative 3 comma negative 2 .
B
open paren x minus 3 close paren squared plus open paren y minus 2 close paren squared is equal to 4 squared , so the center is 3 comma 2 .
C
open paren x minus 3 close paren squared plus open paren y minus 2 close paren squared is equal to 4 squared , so the center is negative 3 comma negative 2 .
D
open paren x plus 3 close paren squared plus open paren y plus 2 close paren squared is equal to 4 squared , so the center is 3 comma 2 .
15

Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?

A
open paren 2 pi over 3 close paren times x units
B
2 pi x units
C
6 pi x units
D
open paren pi over 3 close paren times x units
16

What is the approximate length of the radius, r ? Use 3 point 1 4 for pi Round to the nearest inch.

A
24 inches
B
38 inches
C
12 inches
D
46 inches
17

What is the approximate length of the diameter, d ? Use 3 point 1 4 for pi Round to the nearest tenth of a centimeter.

A
31 point 8 centimeters
B
4 point 0 centimeters
C
8 point 0 centimeters
D
15 point 9 centimeters
18

What is the perimeter of triangle JEG ?

A
60 units
B
70 units
C
65 units
D
75 units
19

What is the measure of overarc WUX in circle cap v ?

A
150 degrees
B
120 degrees
C
60 degrees
D
90 degrees
20

What is the length of line segment PQ ?

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

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