Unit Test — Unit test Answers

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Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees. Point E is on the second arc. Arc F H has a measure of x degrees.

Question illustration
A
130°
B
230°
C
260°
D
310°
2
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What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

A
(−9,6)
B
(−6,9)
C
(6,−9)
D
(9,−6)
3

Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees.

Question illustration
A
34°
B
45°
C
68°
D
73°
4

Which statements about the clock are accurate? Select three options.

A
The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
B
The circumference of the clock is approximately 62.8 inches.
C
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
D
The length of the major arc between 3 and 10 is approximately 31.4 inches.
E
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
5

What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

A
2 units
B
3 units
C
4 units
D
5 units
6

Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

Question illustration
A
82°
B
100°
C
106°
D
118°
7

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.

Question illustration
A
32
Option A
B
85
Option B
C
96
Option C
D
256
Option D
8

A circular table top has a radius of 24 inches.What is the area of the table top, to the nearest square inch? Use 3.14 for .

Question illustration
A
75 in.2
B
151 in.2
C
1809 in.2
D
7235 in.2
9

Two chords intersect at a point inside a circle that is not the center of the circle. Which statement must be true?

A
The measures of each pair of opposite arcs sum to 180°.
B
Each angle measure is equal to the measure of the arc it intercepts.
C
The sum of the measures of each pair of vertical angles is equal to the sum of the measures of the intercepted arcs.
D
Each arc measure is equal to one-half the sum of the vertical angles that intercept the arc.
10

Circle O has a circumference of approximately 28.3 cm.

Question illustration
A
4.5 cm
B
9.0 cm
C
14.2 cm
D
28.3 cm
11

What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4?

A
2 units
B
4 units
C
8 units
D
16 units
12

What is the center of a circle represented by the equation (x−5)2+(y+6)2=42?

A
(−6,5)
B
(−5,6)
C
(5,−6)
D
(6,−5)
13

Consider circle N with radius 30 cm and radians.

Question illustration
A
12.4 centimeters
B
15.7 centimeters
C
31.4 centimeters
D
36.7 centimeters
14

Circle H is shown. Line segments G H and J H are radii. The length of G H is 20. Angle G H J is 162 degrees.

Question illustration
A
20
Option A
B
40
Option B
C
180
Option C
D
400
Option D
15

Two circles are concentric if they have the same center.

Question illustration
A
(x – 4)2 + (y – 6)2 = 4
B
(x – 4)2 + (y – 6)2 = 16
C
(x – 6)2 + (y – 4)2 = 16
D
(x – 6)2 + (y – 4)2 = 4

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