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Worksheets

Ch. 10 Review Circles

Total questions: 116

Worksheet time: 7hrs 24mins

Name
Class
Date
1.

Find the length of WU

a)

5

b)

18

c)

3

d)

11

2.

Solve for x. Assume that lines which appear tangent are tangent.

a)

11

b)

17

c)

18

d)

12

3.
Solve for x. 
a)
7.94
b)
8
c)
10.58
d)
112
4.
Solve for a.
a)
4
b)
6.93
c)
8
d)
16
5.
Find CE.
a)
12
b)
16
c)
18
d)
None of these
6.
Find x.
a)
9
b)
1
c)
27
d)
None of these
7.

Select the correct equation to solve for x.

a)

3x + 6 = 2x + 5

b)

5x = 11

c)

6x = 30

d)

6x2 = 30

8.
a)
5
b)
12
c)
24
d)
10
9.

Find the value of x. Round to the nearest hundreth.

a)

1.30

b)

2.36

c)

6.83

d)

6

10.

Find the value of x. Round to the nearest tenth.

a)

10.8

b)

16.1

c)

15.3

d)

14.6

11.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
12.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
13.
Given two secants, solve for x.
a)
10°
b)
20°
c)
30°
d)
40°
14.

Find the measure of the missing arc.

a)

70°

b)

100.5°

c)

201°

d)

140°

15.
Find the measure of angle BDC.
a)
35
b)
40
c)
75
d)
110
16.
Find the measure of angle ADB.
a)
47.5
b)
85
c)
132.5
d)
180
17.

Find the indicated angle measure in degrees.

a)

102

b)

90

c)

78

d)

110

18.

Find the indicated angle measure in degrees.

a)

77

b)

206

c)

100

d)

103

19.

Find the indicated angle measure in degrees.

a)

87

b)

81

c)

85

d)

93

20.

Find the indicated arc measure in degrees.

a)

205

b)

103

c)

223

d)

249

21.

Find x. Assume that segments that appear to be tangent are tangent.

a)

A

b)

B

c)

C

d)

D

22.
Find the perimeter of the triangle.
a)
A
b)
B
c)
C
d)
D
23.

Solve for the missing side length. Assume that segments that appear to be tangent are tangent.

a)

15

b)

6

c)

-24

d)

14

24.

Find x. Assume that segments that appear to be tangent are tangent.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

25.

Find x. Assume that segments that appear to be tangent are tangent.

a)

22

b)

25

c)

15

d)

20

26.

Solve for the missing side. Assume that segments that appear to be tangent are tangent.

a)

6.3

b)

10.4

c)

7.2

d)

8.9

27.

Find the radius r. Assume that segments that appear to be tangent are tangent.

a)

2

b)

3

c)

4

d)

5

28.

Assume that all the lines that appear tangent are tangent. Find the perimeter.

a)

54

b)

36

c)

48

d)

42

29.

Find the perimeter.

a)

50 cm

b)

52 cm

c)

51 cm

d)

49 cm

30.

Find x to the nearest hundredth. Assume that segments that appear to be tangent are tangent.

a)

7.53

b)

7.98

c)

8.06

d)

9.21

31.

Find the length of WU

a)

5

b)

18

c)

3

d)

11

32.

Solve for x. Assume that lines which appear tangent are tangent.

a)

11

b)

17

c)

18

d)

12

33.
Solve for x. 
a)
7.94
b)
8
c)
10.58
d)
112
34.
Solve for a.
a)
4
b)
6.93
c)
8
d)
16
35.
Find CE.
a)
12
b)
16
c)
18
d)
None of these
36.
Find x.
a)
9
b)
1
c)
27
d)
None of these
37.

Select the correct equation to solve for x.

a)

3x + 6 = 2x + 5

b)

5x = 11

c)

6x = 30

d)

6x2 = 30

38.
a)
5
b)
12
c)
24
d)
10
39.

Find the value of x. Round to the nearest hundreth.

a)

1.30

b)

2.36

c)

6.83

d)

6

40.

Find the value of x. Round to the nearest tenth.

a)

10.8

b)

16.1

c)

15.3

d)

14.6

41.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
42.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
43.
Given two secants, solve for x.
a)
10°
b)
20°
c)
30°
d)
40°
44.

Find the measure of the missing arc.

a)

70°

b)

100.5°

c)

201°

d)

140°

45.
Find the measure of angle BDC.
a)
35
b)
40
c)
75
d)
110
46.
Find the measure of angle ADB.
a)
47.5
b)
85
c)
132.5
d)
180
47.

Find the indicated angle measure in degrees.

a)

102

b)

90

c)

78

d)

110

48.

Find the indicated angle measure in degrees.

a)

77

b)

206

c)

100

d)

103

49.

Find the indicated angle measure in degrees.

a)

87

b)

81

c)

85

d)

93

50.

Find the indicated arc measure in degrees.

a)

205

b)

103

c)

223

d)

249

51.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

52.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

53.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

54.

What is x?

a)

15

b)

23

c)

2

d)

92

55.

Solve for x.

a)

90

b)

12

c)

47

d)

45

56.
a)

15°

b)

150°

c)

127°

d)

92°

57.
a)

65°

b)

125°

c)

92°

d)

152°

58.
a)

90°

b)

62°

c)

31°

d)

79°

59.
a)

258°

b)

129°

c)

188°

d)

169°

60.
a)

A

b)

B

c)

C

d)

D

61.
a)
A
b)
B
c)
C
d)
D
62.
a)

A

b)

B

c)

C

d)

D

63.
a)
A
b)
B
c)
C
d)
D
64.
Determine the measure of Arc BA.
a)
A
b)
B
c)
C
d)
D
65.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
66.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
67.
Find the measure of <E.
a)
7
b)
8
c)
44
68.
Find a and b.
a)
a=74 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
69.

Solve for x.

a)

167

b)

11

c)

9

d)

118

70.

Find the measure of arc MN.

a)

138

b)

133

c)

194

d)

125

71.
Find x
a)
10
b)
5
c)
18
d)
9
72.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

73.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
74.

Find JI.

a)

30

b)

12

c)

7

d)

41

75.

Find PK.

a)

7

b)

22

c)

44

d)

11

76.
Find the value of x.
a)
15
b)
13
c)
3
d)
6
77.
a)
278⁰
b)
297⁰
c)
90⁰
d)
105⁰
78.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
79.
Find the value of x.
a)
31,3
b)
8
c)
16.3
d)
-8
80.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

81.

Find the value of x.

a)

9.8

b)

6.3

c)

12.6

d)

4.9

82.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

83.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

84.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
85.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
86.
What is the measure of arc DC?
a)
140
b)
98
c)
122
d)
61
87.

What is x?

a)

15

b)

23

c)

2

d)

92

88.
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
89.
What is the value of x?
a)
11
b)
88
c)
44
d)
22
90.
In a circle (or congruent circles), the measure of an arc is:
a)
equal to half of the measure of its corresponding central angle
b)
equal to the measure of its corresponding central angle
c)
equal to the measure of its circle's radii
d)
only calculated by taking the square root of dragon taxis
91.
In a circle (or congruent circles), the measure of an arc is:
a)
equal to twice the measure of its corresponding inscribed angle
b)
equal to the measure of its corresponding inscribed angle
c)
equal to half of the measure of its corresponding inscribed angle
d)
equal to four cups of wheat flour
92.
Find the measure of arc JH
a)
93
b)
130
c)
120
d)
95
93.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
94.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
95.

Give an example of a major arc

a)

arc JH

b)

arc HI

c)

arc JLH

d)

arc JL

96.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

97.
What is the measure of arc WYZ?
a)
231
b)
255
c)
168
d)
200
98.

A straight line from the center of a circle to the circumference is called the ____.

a)

Diameter

b)

Circumference

c)

Radius

d)

Area

99.

A straight line segment that passes through the center of a circle and whose endpoints lie on the circumference of the circle is called the ____.

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

100.

What is the radius?

a)

94 cm

b)

188 cm

c)

47 cm

101.
To go from radius to diameter I need to do what?
a)
divide by 2
b)
multiply by 2
c)
multiply by 3.14
d)
divide by 3.14
102.

What is line DE called?

a)

Chord

b)

Radius

c)

Diameter

d)

Circumference

103.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
104.
What is the equation of a circle with radius 2 and center (3, 4)?
a)
(x+3)2 + (y+4)2 = 2
b)
(x-3)2 + (y-4)2 = 2
c)
(x+3)2 + (y+4)2 = 4
d)
(x-3)2 + (y-4)2 = 4
105.
What is the equation of a circle with radius 4 and center (0, 8)?
a)
x2 + (y-8)2 = 16
b)
(x-8)2 + y2 = 4
c)
x2 + (y-8)2 = 4
d)
x2 + (y+8)2 = 16
106.
What is the radius of the circle given by the equation (x-7)2 + (y+3)2 = 25?
a)
3
b)
5
c)
10
d)
25
107.
What is the center of the circle given by the equation (x-7)2 + (y+3)2 = 25?
a)
(-7, 3)
b)
(7, -3)
c)
(3, -7)
(3, -7)
d)
(-3, 7)
108.
What is the radius of a circle with equation (x-4)2 + (y+5)2 = 49?
a)
3.5
b)
7
c)
14
d)
49
109.
What is the center of a circle with equation (x-4)2 + (y+5)2 = 49?
a)
(4, -5)
b)
(5, -4)
c)
(-4, 5)
d)
(-5, 4)
110.
What is the equation of a circle with radius 8 and center (-1, -2)?
a)
(x+1)2 + (y+2)2 = 8
b)
(x-1)2 + (y-2)2 = 64
c)
(x-1)2 + (y-2)2 = 8
d)
(x+1)2 + (y+2)2 = 64
111.
What is the radius of a circle with equation (x-4)2 + y2 = 5?
a)
2.2
b)
5
c)
10.8
d)
25
112.
What is the center of a circle with equation (x-4)2 + y2 = 5?
a)
(-4, 0)
b)
(4, 0)
c)
(4, 1)
d)
(-4, 1)
113.
What is the radius of the circle with equation x2 + y2 = 1?
a)
0
b)
0.5
c)
1
d)
2
114.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
115.
What is the radius of the circle with equation x2 + (y+6)2 = 196?
a)
6
b)
14
c)
98
d)
196
116.
What is the center of the circle with equation x2 + (y+6)2 = 196?
a)
(1, 6)
b)
(1, -6)
c)
(0, 6)
d)
(0, -6)