Free Printable circle

1.

What is a set of all points points in a plane equidistant from a fixed point called its center?

a)

Circle

b)

Line

c)

Square

d)

Triangle

2.

What is a segment whose endpoints are the center of the circle and a point on the circle?

a)

Arc

b)

Chord

c)

Diameter

d)

Radius

3.

What is a chord that passes through the center of the circle?

a)

Arc

b)

Chord

c)

Diameter

d)

Radius

4.

What is a segment whose endpoints are any two points on the circle?

a)

Arc

b)

Chord

c)

Diameter

d)

Radius

5.

What is a portion of a circle?

a)

Arc

b)

Chord

c)

Diameter

d)

Radius

6.

What is an arc whose measure is half of a circle?

a)

Major Arc

b)

Minor Arc

c)

Noah's Arc

d)

Semi-circle

7.

What is an arc whose measure is less than half of a circle?

a)

Major Arc

b)

Minor Arc

c)

Noah's Arc

d)

Semi-circle

8.

What is an arc whose measure is greater than half of a circle?

a)

Major Arc

b)

Minor Arc

c)

Noah's Arc

d)

Semi-circle

9.

What is an angle whose vertex is the center of a circle?

a)

Central Angle

b)

Inscribed Angle

c)

Intercepted Angle

d)

Intercepted Arc

10.

What is an angle whose vertex is on the circle and whose sides are the chords of the circle?

a)

Central Angle

b)

Inscribed Angle

c)

Intercepted Angle

d)

Intercepted Arc

11.

What is the radius of the given circle?

a)

6 inches

b)

12 inches

c)

18 inches

d)

24 inches

12.

What is the diameter of the given circle?

a)

2.5 ft.

b)

5 ft.

c)

7.5 ft.

d)

10 ft.

13.

What is the value of x in the figure?

a)

40⁰

b)

80⁰

c)

120⁰

d)

160⁰

14.

What is the measure of Arc AB in the figure?

a)

45⁰

b)

60⁰

c)

90⁰

d)

180⁰

15.

What is the measure of Angle XYZ in the figure?

a)

45⁰

b)

60⁰

c)

90⁰

d)

180⁰

16.

What is the value of x in the figure?

a)

41⁰

b)

82⁰

c)

123⁰

d)

164⁰

17.

What is the measure of Arc AB in the figure?

a)

42⁰

b)

84⁰

c)

126⁰

d)

168⁰

18.

What is the measure of Arc SR in the figure?

a)

5⁰

b)

50⁰

c)

65⁰

d)

115⁰

19.

What is the value of x in the figure?

a)

20⁰

b)

40⁰

c)

60⁰

d)

80⁰

20.

What is the value of x in the figure?

a)

44⁰

b)

88⁰

c)

92⁰

d)

184⁰

21.

Name the tangent line.

a)

s

b)

WR

c)

VT

d)

QR

22.

a)

A

b)

B

c)

C

d)

D

23.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

24.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

25.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

26.

Which segment is not a radius?

a)

CA

b)

CB

c)

CD

d)

LM

27.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

28.

a)

A

b)

B

c)

C

d)

D

29.

a)

A

b)

B

c)

C

d)

D

30.

a)

A

b)

B

c)

C

d)

D

31.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

32.

The distance around a circle

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

33.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

34.

An angle in a circle with vertex on the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

35.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

36.

Using the tangent lines, find the value of x.

a)

60

b)

120

c)

30

d)

300

37.

What is the value of the tangent angle?

a)

74

b)

148

c)

296

d)

111

38.

Find the missing value.

a)

120

b)

60

c)

30

d)

240

39.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

40.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

41.

An angle in a circle with vertex on the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

42.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

43.

The central angles are (choose 3 correct answers)

a)

$\angle FDE$

b)

$\angle DAC$

c)

$\angle BAC$

d)

$\angle BAE$

e)

$\angle ACD$

44.

What is the measure of the indicated arc?

a)

70

b)

140

c)

35

d)

90

45.

Find the unknown angle $b\degree$ .

a)

30

b)

40

c)

48

d)

62

46.

Find the measure of angle H.

a)

40

b)

37

c)

23

d)

26

47.

What is the measure of arc FH?

a)

70

b)

35

c)

140

d)

88

48.

Find the measure of angle V:

a)

85

b)

80

c)

87

d)

117

49.

The measure of arc XY is:

a)

54

b)

180

c)

216

d)

74

50.

a)

A

b)

B

c)

C

d)

D

51.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

52.

What is m∠LMO?

(Segment LO is a diameter of Circle P)

a)

30°

b)

45°

c)

180°

d)

90°

53.

What is the measure of angle K and angle M?

a)

$m\angle K=100\ \ \ \ \&\ \ \ m\angle M=100$

b)

$m\angle K=50\ \ \ \ \&\ \ \ m\angle M=50$

c)

$m\angle K=100\ \ \ \&\ \ \ m\angle M=50$

d)

$m\angle K=50\ \ \ \&\ \ \ m\angle M=100$

54.

Find the value of x

a)

100

b)

105

c)

95

d)

90

55.

Find x.

a)

51

b)

25.5

c)

102

d)

67

56.

Find x.

a)

25

b)

50

c)

12.5

d)

90

57.

Find x.

a)

48

b)

24

c)

96

d)

42

58.

Find the measure of arc BC. (Hint: BD is a diameter.)

a)

80

b)

106

c)

104

d)

57

59.

a)

A

b)

B

c)

C

d)

D

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.

Determine the measure of Arc BA.

a)

A

b)

B

c)

C

d)

D

64.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

65.

What is m∠LMO?
(Segment LO is a diameter of Circle P)

a)

30°

b)

45°

c)

80°

d)

90°

66.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

67.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

68.

Which segment is not a radius?

a)

CA

b)

CB

c)

CD

d)

LM

69.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

70.

a)

A

b)

B

c)

C

d)

D

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

a)

A

b)

B

c)

C

d)

D

74.

What best describes segment AB?

a)

chord

b)

secant

c)

tangent

d)

diameter

75.

The distance around a circle

a)

Diameter

b)

Radius

c)

Circumference

d)

Area

76.

An angle in a circle with vertex on the center of the circle

a)

Central angle

b)

Angle

c)

Inscribed angle

d)

Circle

77.

An angle in a circle with vertex on the circle itself

a)

Angle

b)

Central angle

c)

Inscribed angle

d)

Chord

78.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

79.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

80.

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

81.

a)

A

b)

B

c)

C

d)

D

82.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

83.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

84.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

85.

What is x?

a)

15

b)

23

c)

2

d)

92

86.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

87.

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

88.

In the diagram, the diameter of the circle is perpendicular to a chord. Solve for the value of "x" and "y"

a)

x=4, y=5

b)

x=3, y=7

c)

x=7, y=3

d)

x=6, y=9

89.

Find the value of x.

a)

10

b)

181

c)

34

d)

40

90.

Find the measure of arc AB.

a)

17 degrees

b)

34 degrees

c)

68 degrees

d)

146 degrees

91.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

92.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

93.

What is x?

a)

15

b)

23

c)

2

d)

92

94.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

95.

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

96.

Find x

a)

10

b)

5

c)

18

d)

9

97.

In the diagram, the diameter of the circle is perpendicular to a chord. Solve for the value of "x" and "y"

a)

x=4, y=5

b)

x=3, y=7

c)

x=7, y=3

d)

x=6, y=9

98.

Find the value of x.

a)

31,3

b)

8

c)

16.3

d)

-8

99.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

100.

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.

101.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

102.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

103.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

104.

Solve for x.

a)

5

b)

20

c)

40

d)

85

105.

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.

106.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

107.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

108.

What is the measure of arc AXB

a)

50

b)

100

c)

180

d)

260

109.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

110.

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

a)

150°

b)

100°

c)

210°

d)

105°

111.

a)

a

b)

b

c)

c

d)

d

112.

Solve for x.

a)

x = 11

b)

x = 6

c)

x = 8

d)

x = 9

113.

Solve for x.

a)

x = 6.45

b)

x = 8

c)

x = 12.6

d)

x = 7

114.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

115.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

116.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

117.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

118.

Find the measure of <XTY

a)

65

b)

98

c)

70

d)

52

119.

Determine the measure of arc KL

a)

268

b)

92

c)

88

d)

272

120.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

121.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

122.

Solve for x.

a)

5

b)

20

c)

40

d)

85

123.

Using the circle with center O, identify a secant.

a)

MN

b)

EC

c)

OC

d)

DF

124.

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.

125.

In circle A, the degree measure of minor arc 𝐵𝐷̂ is 47⁰. What is the measure of ∠𝐵𝐴𝐷?

a)

45⁰

b)

47⁰

c)

51⁰

d)

94⁰

126.

In the circle, the measure of minor arc CD is 129⁰. What is the measure of minor arc 𝐵𝐷̂?

a)

45⁰

b)

47⁰

c)

51⁰

d)

94⁰

127.

What is the measure of the inscribed angle ∠𝐵𝐶𝐸 if the measure of arc 𝐵̂𝐸 is 76⁰?

a)

34⁰

b)

38⁰

c)

76⁰

d)

152⁰

128.

An inscribed angle is an angle whose vertex lies on the circle and whose sides contain chords of a circle. In circle A, which angle shows an inscribed angle?

a)

∠𝐵𝐶𝐸

b)

∠𝐵𝐴𝐷

c)

∠𝐶𝐴𝐷

d)

∠𝐵𝐴𝐶

129.

It is an angle whose vertex is the center of a circle and whose sides intersect the circle.

a)

Acute Angle

b)

Right Angle

c)

Central Angle

d)

Inscribed Angle

130.

What is the degree measure of a semicircle?

a)

90⁰

b)

120⁰

c)

180⁰

d)

360⁰

131.

It is an arc which is less than 180⁰ .

a)

Minor Arc

b)

Major Arc

c)

Semicircle

d)

Circumference

132.

In circle A, If m∠𝐶𝐵𝐸 = 390. Find the measure of arc 𝐶̂𝐸.

a)

39⁰

b)

78⁰

c)

89⁰

d)

115⁰

133.

If the measure of minor arcs 𝐶̂𝐷 and 𝐷̂𝐹 are 44⁰ and 115⁰respectively, what is the measure of arc 𝐶̂𝐷𝐹?

a)

21⁰

b)

44⁰

c)

115⁰

d)

159⁰

134.

If the measure of minor arcs 𝐶̂𝐷 and 𝐷̂𝐹 are 44⁰ and 115⁰ respectively, what is the measure of arc 𝐵̂𝐹?

a)

21⁰

b)

44⁰

c)

115⁰

d)

159⁰

135.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

136.

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.

137.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

138.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

139.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

140.

Solve for x.

a)

5

b)

20

c)

40

d)

85

141.

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.

142.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

143.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

144.

What is the measure of arc AXB

a)

50

b)

100

c)

180

d)

260

145.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

146.

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

a)

150°

b)

100°

c)

210°

d)

105°

147.

a)

a

b)

b

c)

c

d)

d

148.

Solve for x.

a)

x = 11

b)

x = 6

c)

x = 8

d)

x = 9

149.

Solve for x.

a)

x = 6.45

b)

x = 8

c)

x = 12.6

d)

x = 7

150.

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.

151.

Which words describe two circles with the same radius?

a)

Similar Circles

b)

Concentric Circles

c)

Congruent Circles

d)

Semicircle

152.

A ____ angle is an angle whose vertex is a the center of a circle.

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

153.

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.

154.

Which of the following would be a major arc in the diagram?

a)

BC

b)

BCD

c)

CD

d)

AB

155.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

156.

If one angle of a triangle is equal to the sum of other two angles, then the triangle is ____

a)

an isosceles triangle

b)

an obtuse angled triangle

c)

an equilateral triangle

d)

a right angled triangle

157.

Say 'TRUE' or 'FALSE'
A triangle must have at least two acute angles

a)

TRUE

b)

FALSE

158.

a)

135°

b)

145°

c)

35°

d)

45°

159.

Say 'TRUE' or 'FALSE'
The diameter is the longest chord of a circle

a)

TRUE

b)

FALSE

160.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

161.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

162.

Which of the following names a radius?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segement BC

163.

A chord is a segment that connects ___________

a)

the center to the endpoint

b)

to one point outside the circle

c)

a central angle

d)

2 endpoints of a circle

164.

The distance around the outside of the circle

a)

diameter

b)

radius

c)

circumference

d)

area

165.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

166.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

167.

An angle which is complement of itself is___

a)

90°

b)

60°

c)

45°

d)

55°

168.

2) Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

169.

4) Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate exterior angles?

a)

$\angle4$ and $\angle8$

b)

$\angle7$ and $\angle5$

c)

$\angle1$ and $\angle2$

d)

$\angle6$ and $\angle5$

170.

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

171.

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

172.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

173.

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

a)

150°

b)

100°

c)

210°

d)

105°

174.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

175.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

176.

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

177.

a)

A

b)

B

c)

C

d)

D

178.

What is the measure of arc DC?

a)

140

b)

98

c)

122

d)

61

179.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

180.

What is the value of x?

a)

75

b)

90

c)

150

d)

180

181.

Give an example of a major arc

a)

arc JH

b)

arc HI

c)

arc JLH

d)

arc JL

182.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

183.

opposite angles in any quadrilateral inscribed in a circle are __________ of each other.

a)

complements

b)

supplements

c)

congruent

d)

opposite

184.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

185.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

186.

Given the following inscribed quadrilateral, what is the value of y?

a)

10

b)

20

c)

30

d)

40

187.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

188.

What is x?

a)

15

b)

23

c)

2

d)

92

189.

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

circle

Total questions: 189

Worksheet time: 11hrs 19mins

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