Free Printable Circles (Central angles and Inscribed angles)

1.

a)

$\angle FDE$

b)

$\angle DAC$

c)

$\angle BAC$

d)

$\angle BAE$

e)

$\angle ACD$

2.

State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.

a)

A

b)

B

c)

C

d)

D

3.

State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc.

a)

A

b)

B

c)

C

d)

D

4.

a)

17

b)

34

c)

68

d)

146

5.

a)

70

b)

140

c)

35

d)

88

6.

a)

m∠K=100 & m∠M=100

b)

m∠K=50 & m∠M=50

c)

m∠K=100 & m∠M=50

d)

m∠K=50 & m∠M=100

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

46

b)

5

c)

90

d)

1.8

9.

a)

7

b)

44

c)

8

10.

Find the given angle.

a)

59°

b)

118°

c)

70°

d)

242°

11.

What is the measure of arc FE?

a)

54°

b)

126°

c)

117°

d)

31.5°

12.

What is the measure of angle A?

a)

95°

b)

169°

c)

191°

d)

79°

13.

Find the measure of angle R.

a)

32

b)

24

c)

22

d)

47

14.

Find the measure of angle H.

a)

40

b)

37

c)

23

d)

26

15.

Find the measure of angle B.

a)

32

b)

24

c)

44

d)

36

16.

Find the measure of angle T.

a)

99

b)

102

c)

75

d)

145

17.

Find the measure of angle M.

a)

91

b)

51

c)

118

d)

67

18.

Find the measure of arc RT.

a)

142

b)

98

c)

155

d)

187

19.

Find the measure of arc MN.

a)

138

b)

133

c)

194

d)

125

20.

Find the measure of arc EF.

a)

80

b)

77

c)

107

d)

66

21.

a)

A

b)

B

c)

C

d)

D

22.

a)

a

b)

b

c)

c

d)

d

23.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

24.

Solve for x.

a)

5

b)

20

c)

40

d)

85

25.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

26.

What is the measure of arc WXZ?

a)

231

b)

255

c)

168

d)

200

27.

Set of all points in the plane equidistant from a single point called the center

a)

circle

b)

chord

c)

polygon

d)

radius

28.

This is a picture of ___________.

a)

Major Arc

b)

Minor Arc

c)

Central Angle

d)

Inscribed Angle

29.

This is a picture of ___________.

a)

Chord

b)

Diameter

c)

Radius

d)

Inscribed Angle

30.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

31.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

32.

What is the radius?

a)

18

b)

72

c)

38

d)

14

33.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

34.

The distance from the center of the circle to any point on the circle is called the...

a)

radius

b)

diameter

c)

circumference

d)

area

35.

A diameter is also a chord.

a)

True

b)

False

36.

A line segment connecting any two points on a circle is called a _____________.

a)

diameter

b)

chord

c)

radius

d)

circumference

37.

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

38.

What is AF?

a)

Chord

b)

Radius

c)

Secant

d)

Tangent

39.

What is A?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

40.

What is HA?

a)

Point of Tangency

b)

Radius

c)

Circle

d)

Tangent

41.

What is $\angle JIH$ ?

a)

Central Angle

b)

Point of Tangency

c)

Inscribed Angle

d)

Right Angle

42.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

43.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

44.

What is this called?

a)

Tangent Line

b)

Central Angle

c)

Chord

d)

Inscribed Angle

45.

What is this called?

a)

Circumference

b)

Minor Arc

c)

Major Arc

d)

Inscribed Angle

46.

What is this called?

a)

Circumference

b)

Minor Arc

c)

Major Arc

d)

Inscribed Angle

47.

a)

F

b)

G

c)

H

d)

J

48.

a)

A

b)

B

c)

C

d)

D

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

a)

A

b)

B

c)

C

d)

D

52.

What is the m∠HIJ?

a)

108

b)

216

c)

54

d)

60

53.

What is the measure of arc DC?

a)

140

b)

98

c)

122

d)

61

54.

a)

A

b)

B

c)

C

d)

D

55.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

56.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

57.

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

a)

150°

b)

100°

c)

210°

d)

105°

58.

What is x?

a)

180

b)

14

c)

55

d)

12

59.

a)

278⁰

b)

297⁰

c)

90⁰

d)

105⁰

60.

Use chords to solve for x

a)

x = 35^o

b)

x = 50^o

c)

x = 70^o

d)

x = 140^o

61.

In a circle (or congruent circles), congruent central angles:

a)

are 60 degrees

b)

have congruent points

c)

have congruent arcs

d)

spell out the word "dracula"

62.

Use chords to solve

a)

34

b)

20

c)

17

d)

18

63.

Find the value of x.

a)

26

b)

24

c)

30

d)

20

64.

Solve for x.

a)

4.3

b)

26

c)

13

d)

112

65.

A segment whose endpoints lie on a circle is a _______.

a)

tangent

b)

chord

c)

diameter

d)

secant

66.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

67.

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

68.

Rob is trying to open a can. He wants to find the arc length the can opener needs to travel to open the can half way. The radius of the can is 1.5 inches.

a)

10 inches

b)

2 feet

c)

4.71 inches

d)

3.53 inches

69.

When she is outdoors, Tasha, the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between her dog house and her favorite hydrant is 165 degrees. What is the length of the arc from her dog house to the hydrant, following minor arc DG, to the nearest foot.

a)

40

b)

35

c)

55

d)

69

70.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

71.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

72.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 in

d)

None of the above

73.

What is the distance around a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

74.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

75.

Area of a circle.

a)

A=πr²

b)

A=2πr

76.

What is the space inside a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

77.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

78.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

79.

What is the area of the shaded sector?

a)

339.12 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

80.

What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

113.10

d)

40715.04

81.

Find the sector area.

a)

$114\pi$

b)

$147\pi$

c)

$234\pi$

d)

$125\pi$

82.

In circle O, the length of radius is 9 centimeters and the area of sector AOB is $\frac{27\pi}{2}$ square centimeters. The measure of in radians is

a)

$\frac{\pi}{3}$

b)

$3\pi$

c)

$\frac{1}{3\pi}$

d)

$\frac{3}{\pi}$

83.

Determine the value of x using the information in the diagram.

a)

72º

b)

45º

c)

36º

d)

27º

84.

Determine the value of x using the information in the diagram.

a)

190º

b)

130º

c)

120º

d)

70º

85.

Determine the value of x using the information in the diagram.

a)

136º

b)

70º

c)

68º

d)

66º

86.

Determine the value of x using the information in the diagram.

a)

60º

b)

70º

c)

80º

d)

100º

87.

Determine the value of x using the information in the diagram.

a)

280º

b)

174º

c)

140º

d)

68º

88.

Determine the value of x using the information in the diagram.

a)

115º

b)

100º

c)

70º

d)

30º

89.

Determine the value of x using the information in the diagram.

a)

115º

b)

85º

c)

75º

d)

55º

90.

Determine the value of x using the information in the diagram.

a)

124º

b)

99º

c)

74º

d)

50º

91.

Which expression can be used to solve for the unknown angle measure?

a)

? = 118 – 90

b)

? = 90 – (118 – 90)

c)

? = 90 + (118 – 90)

d)

? = 118 + 90

92.

Determine the value of x in the diagram.

a)

6

b)

7

c)

8

d)

9

93.

Determine the value of x in the diagram.

a)

14

b)

21

c)

22

d)

27

94.

Determine the value of x in the diagram.

a)

3

b)

6

c)

9

d)

12

95.

Which equation correctly reflects the information shown in the diagram?

a)

(18)(14) = (3x)(3x + 6)

b)

(18)(3x) = (14)(3x + 6)

c)

(18)(3x + 6) = 14(3x)

d)

(18)+ (3x) = (14)+ (3x + 6)

96.

Which equation correctly reflects the information shown in the diagram?

a)

(14)(15) = (15)(x)

b)

(14)(10) = (15)(x)

c)

(14) + (15) = (10) + (x)

d)

(14)(15) = (10)(x)

97.

Determine the value of x using the information given in the diagram.

a)

x = 14

b)

x = 9.33

c)

x = 19

d)

x = 21

98.

Determine the value of x using the information given in the diagram.

a)

x = 8

b)

x = 9

c)

x = 10

d)

x = 12

99.

Determine the value of x using the information given in the diagram.

a)

x = 6.25

b)

x = 16

c)

x = 20

d)

x = 36

100.

Which equation correctly reflects the information shown in the diagram?

a)

(10)(9) = (x + 9)(x + 7)

b)

(9)(x + 9) = (10)(x + 7)

c)

(9)(x + 9) = (10)(x + 7)

d)

none of these

101.

Which equation correctly reflects the information shown in the diagram?

a)

(24)(21) = (x – 5)(x – 9)

b)

(21)(x – 5) = (24)(x – 9)

c)

(21)(x – 9) = (24)(x – 5)

d)

none of these

102.

Which equation correctly reflects the information shown in the diagram?

a)

(24)(8) = (12)(3x + 1)

b)

(8)(12) = (24)(3x + 1)

c)

(24(12) = (8)(3x + 1)

d)

none of these

103.

Solve for x in the diagram shown.

a)

x = 2

b)

x = 1

c)

x = 10

d)

x = 5

104.

a)

A

b)

B

c)

C

d)

D

105.

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

106.

To find an angle outside 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

107.

a)

A

b)

B

c)

C

d)

D

108.

a)

80

b)

100

c)

140

d)

200

109.

a)

70

b)

40

c)

55

d)

19

110.

a)

55

b)

65

c)

110

d)

140

111.

a)

60

b)

70

c)

95

d)

170

112.

Which is the correct equation to find m<KLM?

a)

x = 1/2(140 - 66)

b)

x = 1/2(140+66)

c)

66 = 1/2(140 - x)

d)

66 = 1/2(140 + x)

113.

Find the measure of angle BDC.

a)

35

b)

40

c)

75

d)

110

Circles (Central angles and Inscribed angles)

Total questions: 113

Worksheet time: 5hrs 40mins

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