AnswersMath II CR S2 RS3Equation of a Circle

Equation of a Circle — Unit test Answers

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1
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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)
2
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A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

A
8
B
9
C
10
D
12
3

is tangent to circle P at point Q.

Question illustration
A
37°
B
53°
C
90°
D
97°
4

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
5

Which circle shows that measures 60°?

Question illustration
A
Circle O is shown. Line segments A and B are shown. The angle between the 2 segments is 60 degrees.
Option A
B
Circle O is shown. Line segment A is a tangent and line segment B is a secant. The angle between lines A and B is 60 degrees.
Option B
C
Circle O is shown. Line segments A O and B O are radii. Angle A O B is 60 degrees.
Option C
D
Circle O is shown. Line segment A Y is a secant. Line Y B is a diameter. Angle A Y B is 60 degrees.
Option D
6

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
7

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)
8

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°.
9

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

A
Both segments are tangent to circle M but are not chords.
B
One segment is tangent to circle M and one segment is a chord in circle M.
C
Both segments are chords in circle M but are not tangents.
D
Neither segment is a chord nor tangent to circle M.
10

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
11

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
12

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH.m∠DFE = 80°. What is the measure of arc ?°

Answer not available
13

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.
14

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
15

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

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