Free Printable Circles: Angles, Arcs, Chords, and Inscribed Angles

1.

Select all the true statements about the diagram.

a)

The measure of arc AB is 17 degrees

b)

The measure of arc AB is 34 degrees

c)

The measure of arc AB is 68 degrees

d)

The measure of arc AXB is 292 degrees

e)

The measure of arc AXB is 146 degrees

2.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

3.

Solve for x

a)

51 degrees

b)

61 degrees

c)

102 degrees

d)

204 degrees

4.

Solve for x. Type in the number ONLY. Round to the nearest tenth if necessary.

(a)

5.

Select all the true statements about the diagram.

a)

PQ = QR

b)

PO = OR

c)

m∠PRQ=51°

d)

m∠PRQ=141°

e)

∠PRQ is a right angle.

6.

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)

are half the measure of their radii

7.

Find x.

(a)

8.

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

9.

Find the length of DC.

(a)

10.

Find the value of x.

(a)

11.

a)

A

b)

B

c)

C

d)

D

12.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

13.

Select all the true statements about the digram.

a)

the measure of arc WYZ is 231 degrees

b)

arc WXY is a semicircle

c)

the measure of arc WZ is equal to the measure of arc YX

d)

the measure of arc XY is 129

e)

the measure of arc YZ is 51 degrees

14.

Select all the true statements about the diagram.

a)

$QV\ =\ \frac{1}{2}UR$

b)

measure for arc TS is 111˚

c)

the measure for arc RQT is 224˚

d)

Arc QR is congruent to Arc TS

e)

Segment VU bisects arc QUT

15.

Give an example of a major arc

a)

arc JH

b)

arc HI

c)

arc JLH

d)

arc JL

16.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

17.

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

(a)

18.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

19.

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

20.

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 double of the measure of its corresponding central angle

21.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

22.

What is the value of y?

a)

11

b)

22

c)

44

d)

108

23.

What is the value of w?

a)

136

b)

54

c)

98

d)

104

e)

112

24.

Select all the true statements.

a)

AC is a radius.

b)

2(EC) = LM

c)

LM is a chord.

d)

BD - AC = BC

e)

AC + CE = BD

25.

Find the measure of a.

a)

a=65

b)

a=115

c)

a=90

d)

a=57.5

26.

Find the measure of b.

a)

65

b)

115

c)

90

d)

57.5

27.

Find the measure of c.

a)

65

b)

115

c)

90

d)

57.5

28.

x = ?

a)

90

b)

180

c)

45

d)

80

29.

What is the value of x?

(a)

30.

Segments with endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

31.

What is the value of x?

(a)

32.

Solve for x.

a)

14

b)

10

c)

11

d)

2

33.

Find the measure of <R

a)

6

b)

34

c)

32

34.

Find the measure of <T

a)

6

b)

34

c)

32

35.

What is the correct value for x? Chords AB and AC are congruent.

a)

245

b)

122.5

c)

115

d)

360

36.

a)

278⁰

b)

297⁰

c)

90⁰

d)

105⁰

37.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

38.

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

39.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

40.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

41.

A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?

a)

10.5 ft

b)

42 ft

c)

65.94 ft

d)

131.95 ft

42.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

$\frac{3}{4}\pi$

d)

$30\pi$

43.

Find the radius of Circle R.

a)

$4$

b)

$\frac{45}{2}$

c)

$45\pi$

d)

$7$

44.

Find the length of arc WY.

a)

$\frac{25}{6}\pi$ m

b)

$\frac{25}{3}\pi$ m

c)

$\frac{65}{6}\pi$ m

d)

$\frac{65}{3}\pi$ m

45.

Find the length of arc MPN.

a)

$\frac{21}{4}\pi$ in.

b)

$\frac{21}{8}\pi$ in

c)

$\frac{35}{8}\pi$ in

d)

$\frac{35}{4}\pi\$ in

46.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

47.

Solve for x.

a)

37.5

b)

11

c)

118

d)

15

48.

If the length of arc YZ is 10 inches, what is the radius of the circle?

a)

1.6in

b)

3in

c)

6.8in

d)

2.5in

49.

a)

36.17

b)

52.84

c)

68.91

d)

80.26

50.

a)

48.34

b)

41.08

c)

37.33

d)

31.27

51.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

$\frac{3}{4}\pi$

d)

$30\pi$

52.

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

a)

supplementary

b)

complimentary

c)

central

d)

obtuse

53.

Find the length of the minor arc.

a)

$9\pi$ in.

b)

$\frac{9}{2}\pi$ in.

c)

$\frac{1}{8}\pi$ in.

d)

$64\pi$ in.

54.

Find the length of the minor arc.

a)

$\frac{19}{9}\pi$ cm

b)

$\frac{38}{9}\pi$ cm

c)

$\frac{576}{19}\pi$ cm

d)

$\frac{31}{36}\pi$ cm

55.

Select all the true statements about the diagram.

a)

The measure of angle F is 46 degrees.

b)

The measure of angle E is 46 degrees.

c)

The measure of arc HG is 92 degrees.

d)

The measure of arc HEF is 180 degrees.

e)

The measure of arc HG is 23 degrees.

56.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

57.

Find the value of x.

a)

15

b)

13

c)

3

d)

6

58.

What two formulas can you use to find the circumference?

a)

C = π·d

b)

C = π·r²

c)

C = 2·π·r

d)

C = d²

59.

a)

A

b)

B

c)

C

d)

D

60.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

61.

What is the measure of arc KL?

a)

108

b)

106

c)

110

d)

112

62.

What is the measure of angle DEF?

a)

72

b)

73

c)

74

d)

75

63.

Name all radii. Select all that apply.

a)

LR

b)

LT

c)

LW

d)

RT

64.

Name all chords. Select all that apply.

a)

RT

b)

RS

c)

ST

d)

LW

65.

The diameter of circle L is 20 units. The diameter of circle M is 13 units. QR = 4 units. Find the measure of RM.

a)

2.5

b)

6

c)

2

d)

10

66.

Find the exact circumference of the circle using the given inscribed polygon.

a)

25π cm

b)

7π cm

c)

24π cm

d)

3.5π cm

67.

Find the exact circumference of the circle using the given circumscribed polygon.

a)

11π yd

b)

11 yd

c)

25π cm

d)

11√2π cm

68.

Find the exact circumference of each circle using the given inscribed polygon.

a)

√58 π mm

b)

58 π mm

c)

√20 π mm

d)

21 π mm

69.

Find the exact circumference of each circle using the given inscribed polygon.

a)

9√2 π in

b)

18 π in

c)

9 π in

d)

29 π in

70.

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

71.

Find the m < y.

a)

112 degrees

b)

82 degrees

c)

144 degrees

72.

Find the m < x.

a)

112 degrees

b)

98 degrees

c)

132 degrees

Circles: Angles, Arcs, Chords, and Inscribed Angles

Total questions: 72

Worksheet time: 5hrs 29mins

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