Free Printable Area and Perimeter of Sector

1.

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.

2.

Find the area of each sector.

a)

52.4 in²

b)

18,864 in²

c)

60 in2

d)

10.47 in

3.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

4.

Find the arc length of arc AB.

a)

12.57 units

b)

75.40 units

c)

24 units

d)

125.66 units

5.

Find the estimated area of the shaded area.

a)

10.732 units squared

b)

100.53 units squared

c)

9.75 units squared

d)

3,015.93 units squared

6.

Find the arc length.

a)

5.50 cm

b)

11.00 cm

c)

0.39 cm

d)

141.37 cm

7.

What is the area of the shaded region?

a)

50.27 units²

b)

3015.93 units²

c)

8.38 units²

d)

4.19 units²

8.

Find the arc length.

a)

37.70 cm

b)

6.28 cm

c)

28.27 cm

d)

9.42 cm

9.

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

10.

What is the area of sector GPH?

a)

9π yd²

b)

32π yd²

c)

18π yd²

d)

6π yd²

11.

Q1. What is the area of the shaded region? Round to the nearest hundredth.

a)

1.26

b)

452.39

c)

9.42

d)

113.10

12.

What is the area of the shaded region? Leave Your answer in terms of pi.

a)

8π/3

b)

2π/3

c)

32π/3

d)

4π/3

13.

What is the area of the shaded sector? Leave Your Answer in terms of pi.

a)

221π/36

b)

3757π/72

c)

3757π/18

d)

None of these

14.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body? Leave Your Answer in terms of pi.

a)

(464/9)π mm²

b)

(112/9)π mm²

c)

(116/9)π mm²

d)

(28/9)π mm²

15.

What is the area of the shaded segment? Round your answer to the nearest hundredth.

a)

185.06

b)

88.94

c)

39.31

d)

5.80

16.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

17.

Find the area of the shaded sector of the circle.

a)

b)

c)

d)

18.

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

19.

Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to thenearest tenth of a square unit.

a)

0.3 square units

b)

15.7 square units

c)

19.7 square units

d)

50.3 square units

20.

Calculate the area of the shaded portion of the given circle

a)

$2.4\ m^2$

b)

$63.6\ m^2$

c)

$10.6\ m^{2\ }$

d)

$28.3\ m^2$

21.

Calculate the area of the following semi-circle

a)

100.6cm^2

b)

$25.1cm^2$

c)

$201.1cm^2$

d)

$50.3cm^{2\ }$

22.

Calculate the area of the given sector

a)

$57cm^2$

b)

$7.1\ cm^{2\ }$

c)

$201.1cm^2$

d)

$25.1cm^2$

23.

Calculate the area of the sector above

a)

$70.6\ mm^2$

b)

$616mm^2$

c)

$20.2mm^{2\ }$

d)

$282.3mm^2$

24.

Given $r=3.5cm$ , calculate the area of the sector above.

a)

$12.8cm^2$

b)

$38.5cm^2$

c)

$7.3cm^2$

d)

$51.3cm^2$

25.

State the correct formula for calculating the area of the image above.

a)

$\frac{x}{360}\times\frac{22}{7}\times\left(9m\right)^2$

b)

$\frac{c}{360}\times\frac{22}{7}\times\left(9m\right)^2$

c)

$\frac{x}{360}\times\frac{22}{7}\times9m$

d)

$\frac{c}{360}\times\frac{22}{7}\times9m$

26.

State the correct formula for finding the area of the given figure

a)

$\frac{r}{360}\times\pi\times83^2$

b)

$\frac{83}{360}\times\pi\times r$

c)

$\frac{83}{360}\times\pi\times r^2$

d)

$\frac{r}{360}\times\pi\times83$

27.

Calculate the area of the shaded region

a)

216cm^2

b)

$50.3cm^2$

c)

$165.7cm^2$

d)

$266.3cm^2$

28.

Calculate the area of the shaded region in the given diagram

a)

144cm^2

b)

$31cm^2$

c)

$309cm^2$

d)

$113cm^2$

29.

Calculate the area of the figure above

a)

$5544cm^2$

b)

$132cm^2$

c)

1386cm^2

d)

$66cm^2$

30.

A region bounded by two radii of the circle and their intercepted arc is a ...

a)

arc of a circle

b)

sector of a circle

c)

arc length of a circle

d)

segment of a circle

31.

Find the area of sector.

a)

$14\pi\ cm^2$

b)

$147\pi\ cm^2$

c)

$147\ cm^2$

d)

$73.5\pi\ cm^2$

32.

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

a)

1.26

b)

452.39

c)

9.42

d)

113.10

33.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

19.28

b)

163.93

c)

655.39

d)

None of these

34.

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

a)

8.38

b)

2.09

c)

33.49

d)

14.19

35.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

13.96

b)

139.56

c)

27.91

d)

558.22

36.

What is the area of the shaded sector? Round your answer to the nearest hundredth.

a)

13.96

b)

139.56

c)

27.91

d)

558.51

37.

Find the area of the shaded sector. Round to the nearest hundredth.

a)

7.92 units ²

b)

24.74 units²

c)

10.60 units²

d)

98.19 units²

38.

Find the area of this sector.

a)

176.7\ cm^{2\ }

b)

$156.7\ cm^2$

c)

$23.5\ cm^2$

d)

$88.4\ cm^2$

39.

The radius of the circle is 19 $ft^2$ . What is the area of the blue shaded sector?

a)

992.35 $ft^2$

b)

846.25 $ft^2$

c)

947.25 $ft^2$

d)

815.96 $ft^2$

40.

Find the area of sector with radius

$10\ cm$ and angle $45\degree$

a)

$78.15\ cm^2$

b)

$25.06\ cm^2$

c)

$39.27\ cm^2$

d)

$57.53\ cm^2$

41.

Find the area of sector with diameter

$28\ ft$ and angle $30\degree$

a)

$40.38\ cm^2$

b)

$51.31\ cm^2$

c)

$17.43\ cm^2$

d)

$67.83\ cm^2$

42.

Find the area of sector with diameter

$96\ m$ and angle $17\degree$

a)

$341.81\ m^2$

b)

$259.22\ m^2$

c)

$427.87\ m^2$

d)

$406.31\ m^2$

43.

Find the area of sector with radius

$18\ in$ and angle $293\degree$

a)

$861.19\ in^2$

b)

$898.32\ in^2$

c)

$810.74\ in^2$

d)

$828.44\ in^2$

44.

Find the area of sector with diameter

$24\ in$ and angle $27\degree$

a)

$52.81\ in^2$

b)

$47.71\ in^2$

c)

$33.93\ in^2$

d)

$28.40\ in^2$

45.

What is the area of sector of a circle with central angle $60\degree$

a)

$\pi r^2$

b)

$2\pi r$

c)

$\frac{\pi r^2}{6}$

d)

$\frac{\pi r^2}{2}$

46.

Say 'TRUE' or 'FALSE'
If areas of two circles are equal, then their circumferences are also equal

a)

TRUE

b)

FALSE

47.

Say 'TRUE' or 'FALSE'
The distance traveled by a circular wheel of diameter d cm in one revolution is 2πd cm

a)

TRUE

b)

FALSE

48.

The region bounded by two radii and corresponding arc of a circle is

a)

A) Segment

b)

B) Sector

c)

C) Area

d)

D) Perimeter

49.

The region bounded by chord and corresponding arc of a circle is

a)

A) Perimeter

b)

B) Sector

c)

C) Area

d)

D) Segment

50.

Angle of the sector is 90°then the ratio of Area of circle to area of sector is

a)

A) 1:4

b)

B) 1:2

c)

C) 4:1

d)

D) 2:3

51.

Area of circle is 154cm², and Area of minor sector is 7.7cm², then calculate area of major sector of circle.

a)

A) 145 cm²

b)

B) 146.3 cm²

c)

C) 77 cm²

d)

D) 147 cm²

52.

Area of the square that can be inscribed in circle of radius 8 cm

a)

256 sq.cm

b)

128 sq.cm

c)

64 sq.cm

d)

132 sq.cm

53.

The perimeter of square circumscribing circle of radius 'a' cm is

a)

8a cm

b)

6a cm

c)

10a cm

d)

16a cm

54.

The area of a segment of a circle is less than the area of its corresponding sector

a)

True only for minor segment

b)

True only for major segment

c)

Alwys false

55.

Area of a sector with central angle $\theta$ is

a)

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

b)

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

c)

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

56.

If the perimeter and the area of a circle are numerically equal, then the radius of the circle is

a)

A) 2 Units

b)

B) 4 Units

c)

C) 3 Units

d)

D) 7 Units

57.

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.( Use Pi =3.14)

a)

25.2 in²

b)

28.5 in²

c)

31.4 in²

d)

38.2 in²

58.

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?

a)

3.3 ft²

b)

4.5 ft²

c)

6.3 ft²

d)

7.1 ft²

59.

The distance around a circle

a)

area

b)

diameter

c)

circumference

d)

radius

60.

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

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

61.

Area of a sector of central angle 120° of a circle is 3π cm². Then the length of the corresponding arc of this sector is:

a)

5.8 cm

b)

6.1 cm

c)

6.3 cm

d)

6.8 cm

62.

What is the area of the shaded region?

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

63.

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the area of the rest of Pacman's body? Give your answer to two decimal places.

a)

161.97mm²

b)

39.10mm²

c)

40.49mm²

d)

9.77mm²

64.

What is the circumference?

a)

48

b)

96

c)

24

d)

18

65.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

66.

Find the length of the arc to 2dp

a)

31.42cm

b)

15.71cm

c)

282.74cm

d)

23.56cm

67.

Find the length of the arc to 2dp

a)

2.09m

b)

301.59m

c)

1.05m

d)

2.51m

68.

is the formula for?

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

a)

arc length

b)

area of a sector

c)

area of a segment

d)

arc measure

69.

What is the radius of a circle with an area of 64π?

a)

64

b)

12

c)

8

d)

32

70.

What is the radius of a circle with an area of 49π?

a)

49

b)

10

c)

7

d)

14

Area and Perimeter of Sector

Total questions: 70

Worksheet time: 4hrs 17mins

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