Unit Test — Unit test Answers

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Circle O has a circumference of 36π cm.

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A
6 cm
B
18 cm
C
36 cm
D
72 cm
2
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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°.
3

In circle P, diameter QS measures 20 centimeters.

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A
9.9 centimeters
B
19.9 centimeters
C
21.5 centimeters
D
43.0 centimeters
4

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

A
The radius of the circle is 3 units.
B
The center of the circle lies on the x-axis.
C
The center of the circle lies on the y-axis.
D
The standard form of the equation is (x – 1)² + y² = 3.
E
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
5

Circle G and X connect at point Y. The length of G Y is 10 centimeters and the length of Y X is 16 centimeters.

Question illustration
A
10
Option A
B
16
Option B
C
356
Option C
D
676
Option D
6

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
7

Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a 60 degree angle is shaded.

Question illustration
A
12
Option A
B
24
Option B
C
120
Option C
D
144
Option D
8

Angle D is a circumscribed angle of circle O.

Question illustration
A
17 units
B
23 units
C
27 units
D
60 units
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 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
10

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
11

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
12

A point is on a circle if the distance from the center of the circle to the point is equal to the

A
area.
B
circumference.
C
radius.
D
diameter.
13

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.

Question illustration
A
6
Option A
B
9
Option B
C
18
Option C
D
36
Option D
14

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

Question illustration
A
37°
B
53°
C
74°
D
106°
15

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
16

Line segment ON is perpendicular to line segment ML.

Question illustration
A
1 unit
B
2 units
C
3 units
D
4 units

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