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Int 2: Circle Unit Mega Review

Total questions: 92

Worksheet time: 5hrs 39mins

Name
Class
Date
1.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
2.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
3.

Give an example of a chord

a)

line HI

b)

line KL

c)

line GH

d)

line GJ

4.
Find x
a)
10
b)
5
c)
18
d)
9
5.
In a circle (or congruent circles), congruent arcs:
a)
have congruent chords
b)
have congruent points
c)
are twice the measure of their radii
d)
can climb a hippo
6.
In a circle (or congruent circles), chords that are the same distance from the center:
a)
are similar
b)
have the same name
c)
are congruent to each other
d)
are walking dead
7.
In a circle, if a diameter is is perpendicular to a chord, then:
a)
it bisects the chord
b)
it bisects the corresponding arc
c)
it bisects BOTH the chord and its arc
d)
none of these answers are correct
8.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
9.

Find JI.

a)

30

b)

12

c)

7

d)

41

10.

Find the degree measure of Arc WV.

a)

167

b)

23

c)

20

d)

172

11.

Find PK.

a)

7

b)

22

c)

44

d)

11

12.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
13.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
14.

Find the value of x. 14 and 18 represent the entire length of the chords

a)

√512

b)

√32

c)

√35

d)

√128

15.

A central angle has it's vertex _________ the circle

a)

at the center of

b)

on

c)

outside

d)

inside

16.

A circumscribed angle has its vertex ____________ the circle

a)

at the center of

b)

on

c)

outside

d)

inside

17.

A circumscribed angle has its vertex ____________ the circle

a)

at the center of

b)

on

c)

outside

d)

inside

18.

A circumscribed angle is ________ its intercepted arc.

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

19.

Find the measure of the indicated angle.

a)

60°

b)

120°

c)

30°

d)

90°

20.

Find the measure of the indicated angle.

a)

65°

b)

130°

c)

50°

d)

90°

21.

Find the measure of the indicated angle.

a)

45°

b)

90°

c)

60°

d)

135°

22.

A central angle is __________ its intercepted arc

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

23.

An inscribed angle is ___________ its intercepted arc.

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

24.

Find the measure of the indicated angle.

a)

60°

b)

120°

c)

30°

d)

90°

25.
a)

37

b)

59

c)

66

d)

46

26.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
27.

Solve for "?"

a)

70

b)

220

c)

110

d)

55

28.

Solve for "?"

a)

130

b)

100

c)

50

d)

25

29.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
30.

What is the measure of x?

a)

8

b)

32

c)

24

d)

4

31.

What is the value of x?

a)

29

b)

33

c)

58

d)

54

32.

What is the value of x?

a)

58

b)

119

c)

61

d)

90

33.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

34.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

35.

∠ ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28° , minor arc AB = 112° , and minor arc DE = 112° , what is the measure of ∠ ACE?

a)

14°

b)

28°

c)

40°

d)

54°

36.

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

a)

35°

b)

40°

c)

45°

d)

50°

37.

If major arc AC = 236°, what is the measure of ∠ ABC?

a)

56°

b)

60°

c)

64°

d)

68°

38.
a)
33
b)
18
c)
46
d)
16
39.
a)
240
b)
230
c)
205
d)
255
40.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
41.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
42.
Find the radius r
a)
2
b)
3
c)
4
d)
5
43.

Find the measure of ∠ABE.

a)

129⁰

b)

51⁰

c)

100⁰

d)

65⁰

44.

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

a)

70

b)

110

c)

140

d)

90

45.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
46.
Find x
a)
10
b)
5
c)
18
d)
9
47.
Given the following inscribed quadrilateral, what is the value of y?
a)
10
b)
20
c)
30
d)
40
48.
x = ?
a)
90
b)
180
c)
45
d)
80
49.
Find x.  Assume that segments that appear to be   tangent are tangent.
a)
2
b)
11
c)
7.6
d)
9
50.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
51.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
52.

Find the measure of the missing arc.

a)

70°

b)

100.5°

c)

201°

d)

140°

53.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
54.
What is the measure of arc WXZ?
a)
231
b)
255
c)
168
d)
200
55.
What is the value of x?
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
56.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
57.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
58.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
59.
Find the measure of <XTY
a)
65
b)
98
c)
70
d)
52
60.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
61.
Find the measure of arc KJ
a)
105
b)
50
c)
55
d)
180
62.
Find the measure of arc GKJ
a)
105
b)
50
c)
55
d)
180
63.
Write the equation of the circle.
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
64.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
65.
In the equation (x-4)2+(x-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
66.
A line segment between two points on the circle which passes through the center
a)
Radius
b)
Diameter
c)
Chord
d)
Tangent
67.
Circles with exactly the same radius measures
a)
Similar Circles
b)
Concentric Circles
c)
Congruent Circles
d)
Semicircle
68.
The distance around a circle
a)
Diameter
b)
Radius
c)
Circumference
d)
Area
69.
In the equation
(x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
70.
Write the equation of a circle with center
(7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
71.
What is the radius of the circle
(x+7)²+(y-2)²=144?
a)
7
b)
12
c)
13
72.
What is the center of the circle with this equation is (x+2)²+(y-4)²=41?
a)
(2,-5)
b)
(-2,4)
c)
(2,-4)
d)
(-2, -4)
73.
What is the equation for this circle?
a)
(x+1)+(y+1)=9
b)
x²+y²=9
c)
x+y=9
74.
What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?
a)
4
b)
8
c)
4√2
d)
2√2
75.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
76.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
77.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
d)
(-1, -1)
78.
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
a)
C:(4, -2), r=5
b)
C:(-4, 2), r=5
c)
C:(4, -2), r=25
d)
C:(-4, 2), r=25
79.
What is the formula for circumference of a circle given the diameter?
a)
C = pi x radius
b)
C = pi x 2radius
c)
C = pi x diameter
d)
C = pi x 2diameter
80.
What is the formula for circumference of a circle given the radius?
a)
C = pi x radius
b)
C = pi x 2radius
c)
C = pi x diameter
d)
C = pi x 2diameter
81.
What does "circumference" mean?
a)
Space a circle takes up
b)
Distance around a circle
c)
Line from one side of a circle to another
d)
Line from center of circle to side
82.
Which graph corresponds to 
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
83.
Find the arc length.
a)
5.50 cm
b)
11.00 cm
c)
0.39 cm
d)
141.37 cm
84.
Alison is jogging on a circular track that has a radius of 140 feet.  She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.
a)
47
b)
74
c)
94
d)
123
85.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
86.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
87.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
88.

What is x?

a)

15

b)

23

c)

2

d)

92

89.

Solve for x.

a)

37.5

b)

11

c)

118

d)

15

90.
If the length of the 45° region of this circle is 10 inches, what is the radius of the circle?
a)
1.6in
b)
3in
c)
6.8in
d)
2.5in
91.

In a​ circle, a 90° sector has area 64π in2. What is the radius of the​ circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

92.

Find the area of the shaded sector of the circle.

a)
b)
c)
d)