Free Printable Circles Review

1.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

2.

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

3.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

4.

The radius of the circle is 9 meters. What is the circle's circumference?

a)

9 meters

b)

28.26 meters

c)

56.52 meters

d)

18 meters

5.

What is the circumference of a circle with a radius of 54 m?

a)

339.12 m

b)

169.56 m

c)

84.78 m

6.

What is the circumference of this circle? Round to the nearest tenth.

a)

3.14 cm

b)

37.7 cm

c)

24 cm

d)

68.4 cm

7.

If the diameter of a circle is 10 mm, the circumference is approximately ___

a)

314 mm

b)

3.14 mm

c)

31.4 mm

d)

20 mm

8.

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?

a)

3 m

b)

9.42 m

c)

12 m

d)

18.84 m

9.

Brian made a tasty burger. The diameter of the
burger was 5 cm. What is the radius of the circle?

a)

15.7 cm

b)

10 cm

c)

2.5 cm

d)

31.4 cm

10.

The diameter of a circle is:

a)

The measurement around the circle.

b)

The distance from an edge of a circle to another edge.

c)

The distance from the center of the circle to an edge of a circle

d)

The distance from an edge of a circle to another edge through the center.

11.

Find the area of the circle

a)

43.96

b)

153.86

c)

87.82

d)

307.72

12.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

13.

find the area of the circle below.

a)

100 cm

b)

225 cm

c)

9 cm

d)

28.26 cm

14.

Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

a)

63.585 ft²

b)

68.345 ft²

c)

64.585 ft²

d)

61.345 ft²

15.

A cruise ship has a large, circular window. It has a diameter of 8 meters. What is the window's area?

a)

31.25 m²

b)

29.55 m²

c)

30.36 m²

d)

50.27 m²

16.

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

a)

49.2 cm²

b)

45.6 cm²

c)

50.24 cm²

d)

55.9 cm²

17.

Find the area of a circle if you are given a diameter of 2.5 inches. Use 3.14 for π and round to the nearest tenths place

a)

5 inches²

b)

4.8 inches²

c)

4.89 inches²

d)

4.9 inches²

18.

The homeowners association wants to enclose the playground in a fence. How much fencing will they need to purchase? Is this question finding the area or the circumference?

a)

area

b)

circumference

c)

neither

19.

A DVD has a diameter of 15 millimeters. Which equation would help you determine the circumference?

a)

c = 15π

b)

c = 2π15

c)

c = π(15²)

d)

c = π(7.5²)

20.

The diameter of Carol's old records from the 80s is 12 inches. Which equation would help you determine the area?

a)

A = 12π

b)

A = 2π12

c)

A = π(12²)

d)

A = π(6²)

21.

Which of the following can be used to calculate the circumference of a circle? (SELECT ALL THAT APPLY)

a)

$C=2\pi r$

b)

$C=\pi r^2$

c)

$A\ =\ \pi r^2$

d)

$C=\pi d$

22.

Calculate the circumference, $2\pi r$ , of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$4\pi$ m

b)

$1\pi$ m

c)

$2\pi$ m

23.

Calculate the circumference, $2\pi r$ , of of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$3\pi$ yd

b)

$12\pi$ yd

c)

$6\pi$ yd

24.

Calculate the circumference of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$3\pi$ km

b)

$6\pi$ km

c)

$2\pi$ km

25.

Which of the following formulas calculates the arc length of a circle? (Select ALL that apply.)

a)

$\frac{\theta}{180}\times2\pi r$

b)

$\frac{\theta}{360}\times2\pi r$

c)

$\frac{\theta}{360}\times\pi d$

d)

$\frac{\theta}{360}\times\pi r^2$

26.

Find the arc length of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$27\pi$ km

b)

$\frac{\pi}{18}$ km

c)

$15\pi$ km

d)

$\frac{15\pi}{2}$

27.

Find the arc length of the circle. (Leave answers in terms of $\pi$ . Do not round your answer.)

a)

$27\pi$ km

b)

$\frac{\pi}{18}$ km

c)

$15\pi$ km

d)

$\frac{45\pi}{2}$ km

28.

Find the arc length of the circle. (Round your answer to the nearest tenth.)

a)

42.4 m

b)

21.2 m

c)

84.8 m

d)

6.7 m

29.

Match the answers to the following problems.

a)

$3\pi$

1.

Problem 1

b)

$\frac{21\pi}{2}$

2.

Problem 4

c)

$5\pi$

3.

Problem 3

d)

$\frac{289\pi}{12}$

4.

Problem 2

30.

Match the answers to the following problems. (HINT: change your answer to decimal)

a)

20.4

1.

Problem 1

b)

47.1

2.

Problem 4

c)

5.2

3.

Problem 3

d)

18.8

4.

Problem 2

31.

What is this called?

a)

Chord

b)

Minor Arc

c)

Circumference

d)

Secant

32.

What is the circumference, in inches, of a circle with a radius of 8 inches?

a)

4π

b)

8π

c)

12π

d)

16π

e)

64π

33.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer as an exact value

a)

5π/3

b)

10π/3

c)

10π

d)

40π

34.

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

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

35.

What is the area of the shaded sector?

a)

221π/36

b)

3757π/72

c)

3757π/18

d)

None of these

36.

What is the area of the shaded sector?

a)

40π/9

b)

400π/9

c)

80π/9

d)

1600π/9

37.

Match the following formulas.

a)

$\ 2\pi\left(r\right)$

1.

Circumference

b)

$\ \pi\left(r\right)^2$

2.

Area

c)

$\ \frac{2\pi\left(r\right)\left(\theta\right)}{360\degree}$

3.

Arc Length

d)

$\ \frac{\pi\left(r\right)^2\left(\theta\right)}{360\degree}$

4.

Area of Sector

38.

Match the following

a)

The distance around the circle.

1.

Circumference

b)

The amount of space inside the circle.

2.

Area

c)

The distance around a section of the circle.

3.

Arc Length

d)

The amount of space inside a section of the circle.

4.

Area of a Sector

39.

What is the green area called?

a)

Sector

b)

Circumference

c)

Arc Length

d)

Area

40.

Find exact length of the un-shaded part of the circle.

a)

$6\pi\ cm$

b)

$8\pi\ cm$

c)

$2\pi\ cm$

d)

$4\pi\ cm$

41.

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.

42.

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.

43.

What is the measure of arc AD?

a)

38

b)

142

c)

180

d)

153

44.

What is the measure of arc AB?

a)

140

b)

142

c)

180

d)

153

45.

a)

x = 160

b)

x = 40

c)

x = 80

d)

x = 360

46.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

47.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

48.

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

a)

150°

b)

100°

c)

210°

d)

105°

49.

Solve for x.

a)

5

b)

20

c)

40

d)

85

50.

Solve for x.

a)

x = 11

b)

x = 6

c)

x = 8

d)

x = 9

51.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

52.

Find the measure of <XTY

a)

65

b)

98

c)

70

d)

52

53.

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.

54.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

55.

Arc TW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

56.

Arc TUW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

57.

Arc VW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

58.

Arc VTW is

a)

minor

b)

major

c)

inscribed

d)

semicircle

59.

Select the names of minor arcs of Circle O.

a)

b)

c)

d)

e)

60.

Select the names of major arcs of Circle O.

a)

b)

c)

d)

e)

61.

Select the names of semicircles of Circle O.

a)

b)

c)

d)

e)

62.

Solve for the missing angle.

a)

45^o

b)

90^o

c)

22.5^o

d)

128^o

63.

Find the measure of arc AB.

a)

17

b)

34

c)

68

d)

146

64.

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

65.

a)

A

b)

B

c)

C

d)

D

66.

What is the measure of arc DC?

a)

140

b)

98

c)

122

d)

61

67.

inscribed angle: an angle with its vertex _____________ the circle

a)

at the center of

b)

on

68.

What is x?

a)

15

b)

23

c)

2

d)

92

69.

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

70.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

71.

What is the value of x?

a)

75

b)

90

c)

150

d)

180

72.

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

73.

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

74.

Find the measure of arc JH

a)

93

b)

130

c)

120

d)

95

75.

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

a)

150°

b)

100°

c)

210°

d)

105°

76.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

77.

Give an example of a major arc

a)

arc JH

b)

arc HI

c)

arc JLH

d)

arc JL

78.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

79.

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

a)

10

b)

20

c)

30

d)

40

80.

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

a)

complements

b)

supplements

c)

congruent

d)

opposite

81.

What is the measure of arc WYZ?

a)

231

b)

255

c)

168

d)

200

Circles Review

Total questions: 81

Worksheet time: 4hrs 3mins

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