AnswersCR CCSS Math 2 S2 M2960OXArea of a Circle and a Sector

Area of a Circle and a Sector — Unit test Answers

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21
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Circle B is shown. Line segments C B, D B, and E B are radii. Angle C B E is 52 degrees and angle E B D is 160 degrees.

Question illustration
A
106°
B
108°
C
148°
D
212°
22
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Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on the opposite side of the circle. It goes through center point K. Lines are drawn from points S and U to center point K.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
23

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2.Which circle could represent the base of the vase? Use 3.14 for .

A
Circle C is shown. Line segment A C is a radius with length 6 centimeters.
Option A
B
Circle C is shown. Line segment A C is a radius with length 7 centimeters.
Option B
C
Circle C is shown. Line segment A C is a radius with length 8 centimeters.
Option C
D
Circle C is shown. Line segment A C is a radius with length 9 centimeters.
Option D
24

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)
25

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°
26

Which circle has a central angle that measures 40°?

A
Circle U is shown. Line segment Z X is a diameter. Line segment V X is a secant. Angle V X Z is 40 degrees.
Option A
B
Circle U is shown. Line segments U V and U Z are radii. Angle V U Z is 40 degrees.
Option B
C
Circle U is shown. Line segment Z V is a secant. Line segment Z X is a tangent. Angle X Z V is 40 degrees.
Option C
D
Circle U is shown. Line segments X V and X Z are secants. Angle V X Z is 40 degrees.
Option D
27

In circle O, AD and BE are diameters.

Question illustration
A
106°
B
132°
C
138°
D
164°
28

Circle O is shown. Line segments C O And A O are radii. Lines are drawn from points C and A to point B to form chords B C and B A. Angle C B A is 80 degrees.

Question illustration
A
140°
B
150°
C
160°
D
170°
29

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.
30

Arc QVT measures 156°.

Question illustration
A
Angles QRT and QST both measure 78°.
B
Angles QRT and QST both measure 156°.
C
Angle QRT measures 78° and angle QST measures 102°.
D
Angle QRT measures 156° and angle QST measures 24°.
31

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
32

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
33

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)
34

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

Question illustration
A
4.5 units
B
8 units
C
12 units
D
12.5 units

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