Unit Test — Unit test Answers

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In circle T, ∠PTQ ≅ ∠RTS.

Question illustration
A
24°
B
33°
C
48°
D
66°
22
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Circle B is shown. Line segments A B and C B are radii. The length of A B is 6. Sector A B C is shaded.

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A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
23

Circle C is shown. Radius A has a length of r.

Question illustration
A
32
Option A
B
64
Option B
C
256
Option C
D
1024
Option D
24

Which statements about circle O are true? Select three options.

A
The radius of circle O is 13.
B
The diameter of circle O is 34.
C
LP is a diameter of circle O.
D
∠LMP intercepts a semicircle.
E
The measure of arc LP is 90°.
25

Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees.

Question illustration
A
38°
B
76°
C
90°
D
152°
26

Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.

Question illustration
A
39°
B
41°
C
78°
D
82°
27

Circle O has a circumference of 36π cm.

Question illustration
A
6 cm
B
18 cm
C
36 cm
D
72 cm
28

A circle is shown. Secants D E and A E intersect at point E outside of the circle. Secant D E intersects the circle at point C and secant A E intersects the circle at point B. The length of D C is 1, the length of C E is x + 4, the length of A B is 11, and the length of B E is x + 1.

Question illustration
A
2
B
3
C
6
D
7
29

Angle D is a circumscribed angle of circle O.

Question illustration
A
17 units
B
23 units
C
27 units
D
60 units
30

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees.

Question illustration
A
75°
B
90°
C
120°
D
135°
31

Which circle has a radius that measures 10 units?

A
Circle D is shown. A line segment goes from one point to another point on the circle and has a length of 10.
Option A
B
Circle F is shown. A line segment goes from one point to another point on the circle and goes through point F. It has a length of 20.
Option B
C
Circle G is shown. A line segment goes from one point to another point on the circle and goes through point G. It has a length of 10.
Option C
D
Circle H is shown. A line segment goes from one point to another point on the circle and has a length of 20.
Option D
32

What is the radius of a circle whose equation is (x + 5)2 + (y – 3)2 = 42?

A
2 units
B
4 units
C
8 units
D
16 units
33

In circle O, and are diameters. The measure of arc AB is 55° and the measure of arc CD is 25°.

Question illustration
A
100°
B
125°
C
235°
D
280°
34

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Question illustration
A
37°
B
53°
C
74°
D
106°
35

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
36

Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees.

Question illustration
A
26°
B
52°
C
104°
D
128°
37

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 x2 + y2 – 8x – 6y + 24 = 0.

A
(x + 4)2 + (y + 3)2 = 2
B
(x – 4)2 + (y – 3)2 = 2
C
(x – 4)2 + (y – 3)2 = 2²
D
(x + 4)2 + (y + 3)2 = 2²
38

AD and MN are chords that intersect at point B.

Question illustration
A
4 units
B
6 units
C
18 units
D
24 units
39

Circle D is shown with the measures of the minor arcs.

Question illustration
A
EH and EF
B
GH and FE
C
FG and EH
D
EF and GF

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