Free Printable Circles Review

1.

Inscribed angles are made of two ___.

a)

radiuses

b)

chords

c)

diameters

d)

tangents

2.

Central angles are made of two ___.

a)

radiuses

b)

chords

c)

diameters

d)

tangents

3.

Angle a is a(n) ___ angle.

a)

central

b)

inscribed

4.

Angle b is a(n) ___ angle.

a)

central

b)

inscribed

5.

Find the measure of the marked angle.

a)

52

b)

104

c)

26

d)

13

6.

Find the measure of the marked arc.

a)

15

b)

30

c)

60

d)

7.5

7.

Find the measure of the marked arc.

a)

90

b)

22.5

c)

45

d)

180

8.

Find the measure of the marked angle.

a)

22

b)

44

c)

11

d)

66

9.

Find the measure of the marked angle.

a)

130

b)

65

c)

260

d)

50

10.

Find the measure of the marked arc.

a)

140

b)

70

c)

35

d)

210

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

15.

What is m∠ACB?

a)

67.5°

b)

90°

c)

22.5°

d)

45°

16.

a)

A

b)

B

c)

C

d)

D

17.

a)

A

b)

B

c)

C

d)

D

18.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

19.

a)

A

b)

B

c)

C

d)

D

20.

What is the measure of the indicated arc?

a)

70

b)

140

c)

35

d)

90

21.

Name a minor arc

a)

AD

b)

ADB

c)

AB

d)

CD

22.

Name a major arc.

a)

ABD

b)

BDA

c)

BCD

d)

DA

23.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

24.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

25.

What is the measure of arc WXZ?

a)

231

b)

255

c)

168

d)

200

26.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

27.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

28.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

29.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

30.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

31.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

32.

What is 60 degrees in radians?

a)

2π/3

b)

π/3

c)

4π/3

d)

π/6

33.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

34.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

35.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

36.

What is π/3 radians in degrees?

a)

30

b)

60

c)

360

d)

90

37.

How many degrees are there in half a circle?

a)

360^o

b)

2pi

c)

180^o

d)

pi

38.

How many radians are there in half a circle?

a)

2 pi

b)

180^o

c)

360^o

d)

pi

39.

How many degrees does a circle have?

a)

360 degrees

b)

2pi

c)

180 degrees

d)

pi

40.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

41.

If you split a circle into 6 equal parts, how many degrees will each section be?

a)

30/pi^o

b)

60^o

c)

30^o

d)

60/pi^o

42.

Area of a circle.

a)

A=πr²

b)

A=2πr

43.

What is the space inside a circle?

a)

Circumference

b)

Area

c)

Diameter

d)

Radius

44.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

45.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

46.

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.

47.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

48.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

49.

What is the area of the shaded sector?

a)

56.55 in²

b)

113.04 in²

c)

339.29 in²

d)

None of the above

50.

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

51.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

52.

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

53.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

54.

In a circle, a 90° sector has area 64π in². What is the radius of the circle?

a)

16 in

b)

32 in

c)

64 in

d)

128 in

55.

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

56.

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

57.

What is the circumference?

a)

50

b)

201

c)

24

d)

16

58.

Find the circumference of circle R.

a)

$108\pi$

b)

$1200\pi$

c)

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

d)

$30\pi$

59.

Find the value of the missing side.

a)

20

b)

4

c)

192

d)

400

60.

Find the value of the missing side.

a)

12.5

b)

88.25

c)

7.5

d)

34

61.

If Angle A is 32 degrees, what is the value of Angle AON?

a)

58

b)

67

c)

90

d)

180

62.

Find the value of x.

a)

17.56

b)

8

c)

4

d)

15

Circles Review

Total questions: 62

Worksheet time: 4hrs 26mins

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