Free Printable 7.1-7.3 Review

1.

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

2.

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

a)

Diameter

b)

Radius

3.

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

a)

Diameter

b)

Radius

4.

Determine the radius of the penny

a)

59.66 mm

b)

9.5 mm

c)

38 mm

d)

119.32 mm

5.

What is the diameter?

a)

8

b)

16

c)

10

d)

4

6.

What is the radius?

a)

18

b)

72

c)

38

d)

14

7.

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

8.

What does C represent in the formula:

C = π·d

a)

Pi

b)

Circumference

c)

Diameter

d)

Area

9.

What does d represent in the formula:

C = π·d

a)

diameter

b)

radius

c)

pi

d)

3.14

10.

What number represents π?

a)

31.4

b)

4.13

c)

3.14

d)

34.1

11.

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

12.

Find the circumference of the circle.

a)

31.4 cm

b)

78.5 cm

c)

314 cm

d)

15.7 cm

13.

Find the circumference of the circle.

a)

78.5 cm

b)

15.7 cm

c)

7.85 cm

d)

19.6 cm

14.

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

15.

Find the circumference of the circle.

a)

38.47 cm

b)

10.99 cm

c)

43.96 cm

d)

21.98 cm

16.

find the area of the circle with radius 3 cm below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

17.

What is the radius of this circle?

a)

18

b)

10

c)

9

d)

8

18.

What is the area of this circle?

a)

50.27

b)

78.23

c)

98.12

d)

201.06

19.

What is the formula to find the area of a circle?

a)

πr²

b)

2πr

c)

√π

20.

Determine the radius of the penny

a)

59.66 mm

b)

9.5 mm

c)

38 mm

d)

119.32 mm

21.

Jacob is painting a circular picture on his wall. If the painting has a diameter of 4 ft, how much paint will he need to cover the inside of the circle? Is this question asking you to find the area, circumference, or neither?

a)

area

b)

circumference

c)

neither

22.

A clock face has a diameter of 10 inches. What is the approximate area of the clock face in square inches?

a)

314 in²

b)

31.4 in²

c)

7.85 in²

d)

78.5 in²

23.

What is the radius of the circle below?

a)

3 cm

b)

1.5 cm

c)

6cm

d)

I don't know

24.

What is π ? (Best Choice)

a)

The ratio of the circumference of any circle to its diameter.

b)

Exactly 3.14

c)

Exactly 3.1415

d)

Exactly 3.141593

25.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

26.

The formula for the circumference of a circle is...

a)

$C\ =\ \pi d$

b)

$C\ =\ \pi$

c)

$C\ =\ \pi r$

d)

$C\ =\pi r^2$

27.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

28.

The formula for finding the area of a circle is...

a)

$A\ =\ \pi d$

b)

$A\ =\ \pi$

c)

$A\ =\pi r$

d)

$A\ =\pi r^2$

29.

A Circle has a radius of 4. What is the circumference of the circle? (Best Choice)

a)

4π or about 12.56

b)

16π or about 50.24

c)

2π or about 6.28

d)

8π or about 25.12

30.

A Circle has a radius of 4. What is the area of the circle? (Best Choice) (note: units are squared)

a)

4π or about 12.56

b)

16π or about 50.24

c)

2π or about 6.28

d)

8π or about 25.12

31.

What is the diameter of this circle?

a)

8cm

b)

16cm

c)

10cm

d)

4cm

32.

What is the radius of this circle?

a)

18in

b)

36in

c)

9in

d)

6in

33.

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

a)

Radius

b)

Diameter

34.

Find the circumference of the circle

a)

87.82in

b)

153.86in

c)

43.96in

d)

307.72in

35.

What is the area of this circle?

a)

452.39 cm²

b)

139.12 cm²

c)

113.1 cm²

d)

84.23 cm²

36.

Find the area of the circle below.

a)

100 cm²

b)

225 cm²

c)

9 cm²

d)

28.26 cm²

37.

The diagram shows a circle with diameter 12cm. Find the area of this circle, correct to 1 decimal place.

a)

113.1cm²

b)

452.4cm²

c)

37.7cm²

d)

18.8²

38.

A circular window has a diameter of 24 inches. A piece of metal is to go around the window for a frame. How long does the metal need to be? (Best Choice)

a)

24π or about 75.36 in

b)

12π or about 37.68

c)

576π or about 1,808.64 in

d)

144π or about 452.16 in

39.

A center circle on a basketball court has a diameter of 12 feet. How long is the line that wraps around the circle? (Best Choice)

a)

6π or about 18.84 ft

b)

12π or about 37.68 ft

c)

36π or about 113.04 ft

d)

144π or about 452.16 ft

40.

A flower pot has a radius of 8 inches. What is the area of the (top of the) flower pot? (Best Choice)

a)

4π or about 12.56 in²

b)

8π or about 25.12 in²

c)

16π or about 50.24 in²

d)

64π or about 200.96 in²

41.

An area between/bounded by two radii of the circle and the arc where the radii meet the circle.

a)

triangle

b)

arc length of a circle

c)

sector of a circle

d)

segment of a circle

42.

What is the area formula for a circle?

a)

A = πr²

b)

A = 2πr

c)

A = √π

43.

Find the area of the circle below.

a)

8.76 cm²

b)

18.52 cm²

c)

21.90 cm²

d)

28.26 cm²

44.

What is this the formula for?

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

45.

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)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

46.

The distance along the edge of a circle between two points is the _________

a)

area of a sector

b)

arc length

c)

arc of a circle

d)

sector of a circle

47.

Find the area of the circle. When a number is written next to the center of the circle, it represents the diameter length. The diameter is 18 in.

a)

56.52 in²

b)

254.34 in²

c)

1017.36 in²

d)

113.04 in²

48.

What is the radius of a circle with an Circumference of 50π?

a)

50

b)

25

c)

2

d)

r

49.

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

a)

9.42 u²

b)

113.10 u²

c)

284.3 u²

d)

452.39 u²

50.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

51.

What is the circumference of this circle ?

a)

3.14 cm

b)

37.68 cm

c)

24 cm

d)

68.4 cm

52.

Find the circumference (to the nearest whole number)

a)

88 in

b)

44 in

c)

116 in

d)

None of the above

53.

What is the arc length of minor arc AB?

a)

5.23

b)

103

c)

33.33

d)

50

54.

A mountain biker travels 11.5 miles while making 8433.33 revolutions of his bike tire. To the nearest tenth of a foot, what is the diameter of the bike tire?

a)

2.3 feet

b)

2.7 feet

c)

1.3 feet

d)

1.7 feet

55.

The diameter of the wheel on Petunia's El Camino is 15 inches. If the wheel made 5 complete revolutions, how far would the wheel have rolled?

Round your answer to the nearest hundredth of an inch.

Use 3.14 for 𝜋.

a)

23.55 in

b)

47.10 in

c)

117.75 in

d)

235.50 in

56.

A mountain biker travels 14.2 miles in order to conquer the Raptor Ridge Trail. If his bike tire has a diameter of 29 inches, how many revolutions did the bike tire make?

a)

10,302 Revolutions

b)

9250 Revolutions

c)

9875 Revolutions

d)

8875 Revolutions

57.

A booming city in central Wakanda has a population density of 7,349 people per square mile. If the radius of the area is 4.3 miles, how may total people live in the area?

a)

516,354 Wakandans

b)

452,681 Wakandans

c)

502,193 Wakandans

d)

426,889 Wakandans

58.

A super crowded city center has a population of 1.3 million people living in a circular area with a radius of 3.7 miles. What is the population density of this urban area?

a)

30,529.4 ppl/square mile

b)

31,525.5 ppl/square mile

c)

30,226.7 ppl/square mile

d)

29,325.1 ppl/square mile

59.

What is the area of the pink shaded sector?

a)

12.6 u²

b)

4.2 u²

c)

73.0 u²

d)

113.0 u²

60.

What is the length of the blue arc?

a)

42.4 in

b)

1.2 in

c)

95.4 in

d)

21.2 in

61.

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)

$C=\pi d$

62.

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)

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

63.

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

64.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

65.

In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.

a)

5

b)

9

c)

8

d)

6

66.

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

*Hint: Solve for the unknown in the equation.

a)

16 in

b)

32 in

c)

64 in

d)

128 in

67.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

68.

If the length of the arc of this 45° region of this circle is 10 inches, what is the radius of the circle?

*Hint: Solve for the unknown in the equation.

a)

12.7in

b)

3in

c)

6.8in

d)

2.1in

69.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

70.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

71.

Find the area of the bolded sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

72.

Find the area of the bolded sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

73.

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

74.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

75.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

76.

Find the area of each sector.

a)

4248 m²

b)

7.9 m²

c)

2827.4 m²

d)

11.8 m²

77.

Find the area of the blue shaded sector.

a)

37.70 cm²

b)

6.28 cm²

c)

28.27 cm²

d)

9.42 cm²

78.

Find the area of the sector.

a)

A

b)

B

c)

C

d)

D

79.

In a circle with a diameter of 32, the area of a sector is $\frac{512\pi}{3}$ . The measure of the angle of the sector, in radians, is

a)

$\frac{\pi}{3}$

b)

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

c)

$\frac{16\pi}{3}$

d)

$\frac{64\pi}{3}$

80.

Find the sector area of the bolded section. Round your answer to the nearest tenth.

(a)

81.

Find the area of the sector. Round your to the nearest tenth.

(a)

82.

Find the sector area.

a)

$114\pi$

b)

$147\pi$

c)

$234\pi$

d)

$125\pi$

83.

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)

$\frac{3}{\pi}$

84.

If Pacman's mouth is open to 70° and the radius of his mouth is 8mm, what is CENTRAL ANGLE MEASURE of his Body?

a)

290^o

b)

270^o

c)

180^o

d)

110^o

85.

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.

86.

Find the area of the sector, rounding your answer to 1d.p.

a)

15.4m²

b)

15.3m²

c)

15.5m²

d)

15.6cm²

7.1-7.3 Review

Total questions: 86

Worksheet time: 8hrs 30mins

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