Free Printable angles associated with circles

1.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

2.

central angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

3.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

4.

Which is true of a minor arc?

a)

It forms half a circle.

b)

It forms a whole circle.

c)

It measures greater than 180 degrees.

d)

It measures less than 180 degrees.

5.

Which is true of a major arc?

a)

Forms half a circle.

b)

Forms a whole circle.

c)

Measures greater than 180 degrees.

d)

Measures less than 180 degrees.

6.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

7.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

8.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

9.

What is the measure of arc AB

a)

50

b)

100

c)

180

d)

260

10.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

11.

If the measure of arc ABC = 210°, what is the measure of arc AC?

a)

150°

b)

100°

c)

210°

d)

105°

12.

Solve for x.

a)

5

b)

20

c)

40

d)

85

13.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

14.

What is the relationship between a central angle and its arc?

a)

The angle is half of the arc.

b)

The arc is half of the angle.

c)

The arc is smaller than the angle.

d)

They are congruent.

15.

What is the measure of angle 1?

a)

120

b)

40

c)

30

d)

60

16.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

17.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

a)

150°

b)

100°

c)

210°

d)

105°

18.

What is the measure of arc QP?

a)

140

b)

40

c)

70

d)

100

19.

$m\angle ABC=$

a)

40 degrees

b)

20 degrees

c)

80 degrees

d)

160 degrees

20.

$m\angle ABC=$

a)

70 degrees

b)

140 degrees

c)

35 degrees

d)

290 degrees

21.

$m\angle ABC=$

a)

100 degrees

b)

50 degrees

c)

200 degrees

d)

160 degrees

22.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

23.

Given DE is a diameter, what is arc DF?

a)

155

b)

200

c)

150

d)

165

24.

Given arc IJ is a diameter, find x. Hint-: diameter is 180

a)

14

b)

15

c)

8

d)

12

25.

Find the value of x.

a)

$127.2\degree$

b)

$31.8\degree$

c)

$63.6\degree$

26.

Find the value of X.

a)

$59.6\degree$

b)

$14.9\degree$

c)

$150.2\degree$

d)

$209.8\degree$

27.

a)

A

b)

B

c)

C

d)

D

28.

What is the measure of $\angle BAC$ ?

a)

$m\angle BAC\ =90$

b)

$m\angle BAC\ =180$

c)

$m\angle BAC\ =360$

29.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

30.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

31.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DB

32.

find the value of arc DC

a)

$144\degree$

b)

$98\degree$

c)

$122\degree$

d)

$140\degree$

33.

find the value of arc UQ

a)

$110\degree$

b)

$140\degree$

c)

$55\degree$

d)

$120\degree$

34.

Find the value of $\angle DCE$

a)

$45\degree$

b)

$74\degree$

c)

$106\degree$

d)

$53\degree$

35.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

36.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

37.

Solve for x.

a)

45.5

b)

90.5

c)

90

d)

23

38.

a)

A

b)

B

c)

C

d)

D

39.

Find the measure of arc QR

a)

106

b)

85

c)

113

d)

78

40.

All the inscribed angles that form intercepted arc AZ have the same measure?

a)

TRUE

b)

FALSE

41.

Find the measure of <F

a)

46

b)

5

c)

90

d)

1.8

42.

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

a)

2

b)

11

c)

7.6

d)

9

43.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

44.

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

45.

Find the measure of angle BDC.

a)

35

b)

40

c)

75

d)

110

46.

What is the measure of arc NM?

a)

116

b)

117

c)

118

d)

119

47.

What is the measure of angle JML?

a)

93

b)

94

c)

95

d)

96

48.

Find the measure of <E.

a)

7

b)

8

c)

44

49.

Solve for x and y

a)

x = 11, y = 4

b)

x = 4, y = 11

c)

x = 0, y = 15

d)

x = 15, y = 0

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

a)

A

b)

B

c)

C

d)

D

53.

a)

A

b)

B

c)

C

d)

D

54.

a)

A

b)

B

c)

C

d)

D

55.

a)

A

b)

B

c)

C

d)

D

56.

Find measure of angle R.

a)

24

b)

41

c)

67

d)

139

57.

What is the m∠A?

a)

20

b)

40

c)

60

d)

30

58.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

59.

Solve for x.

a)

29

b)

33

c)

41.5

d)

50

60.

a)

123°

b)

57°

c)

132°

d)

66°

61.

a)

50°

b)

80°

c)

100°

d)

160°

62.

a)

A

b)

B

c)

C

d)

D

63.

a)

A

b)

B

c)

C

d)

D

64.

a)

A

b)

B

c)

C

d)

D

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

68.

Find m∠ EGF. EF is a diameter of the circle.

a)

45°

b)

60°

c)

90°

d)

100°

69.

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

a)

45°

b)

50°

c)

55°

d)

60°

70.

∠ AED is formed inside a circle by intersecting chords. If minor arc BD = 82 and minor arc CA = 176, what is the measure of ∠ AED?

a)

41°

b)

47°

c)

51°

d)

88°

71.

∠ BEC is formed inside a circle by intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

a)

44°

b)

47°

c)

50°

d)

53°

72.

To find an angle inside the circle you use which of the following.

a)

(1/2)arc

b)

(1/2)(arc+arc)

c)

(1/2)(arc - arc)

d)

I don't know

73.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

74.

Find m∠UST.

a)

119°

b)

163°

c)

44°

d)

61°

75.

What is the measure of angle 1?

a)

130

b)

65

c)

44

d)

86

76.

What is the measure of the indicated arc?

a)

103

b)

100

c)

50

d)

35

77.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

78.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

79.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

80.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

81.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

82.

What is the measure of arc GF?

a)

168

b)

169

c)

167

d)

165

83.

What is the measure of arc AD?

a)

137

b)

136

c)

135

d)

134

84.

Find the measure of angle ADB.

a)

47.5

b)

85

c)

132.5

d)

180

85.

Solve for x.

a)

140

b)

89

c)

51

d)

38

86.

Find the measure of angle ABD.

a)

14

b)

51

c)

37

d)

65

87.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

88.

What is the value of x?

a)

75

b)

90

c)

150

d)

180

89.

a)

A

b)

B

c)

C

d)

D

90.

a)

A

b)

B

c)

C

d)

D

angles associated with circles

Total questions: 90

Worksheet time: 6hrs 2mins

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