8/6/2019 Review Exercise 22 Objective)

1/9

REVIEW EXERCISE 22

Objective Questions1. In the diagram, O is the centre of a circle.

Which of the following statements is not correct?

A The part of the circumference TUVis a minor arc.

B The part of the circumference TWVis a major arc.

C The region that is bounded by the chord TVand the radii OTand OVis aminor segment.

D The unshaded region is a major sector.

2. The diagram shows a construction to determine the centre of a circle.

The correct order in the steps of the construction is

A I, II, III and IV

B I, III, IV and II

C IV, III, II and I

D III, IV, I and II

3. A circle has a radius of 6 cm and a circumference of 38 cm. An estimate of the value

of is

A7

23

B7

20

C5

17

D6

19

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1

8/6/2019 Review Exercise 22 Objective)

2/9

4. A circle is drawn such that it touches the sides of a square with sides of length 7 cm.

By using =7

22, find the circumference, in cm, of the circle.

A 11

B 22C 44

D 66

5. A wire of length 176 cm is bent into a circle. By using =7

22, the radius, in cm, of

the circle is

A 28

B 56

C 63

D 88

6. In the diagram,PQR is an isosceles trianglesuch thatPR = QR = 14 cm andPQ = 7 cm. IfPLQ,

QMR andRNPare semicircles, then the perimeter,in cm, of the figure is

A 55

B 66

C 90

D 110

7. The circumference of a circle is 35.2 cm. By taking =7

22, calculate the area, in

cm2, of the circle.

A 49.28B 98.56

C 104.72

D 117.04

8. It is given that the area of a circle is 616 cm2. By using =7

22, the diameter, in cm,

of the circle is

A 7

B 14

C 21

D 28

9. In the diagram, Uand Vare the centres oftwo circles. The area, in cm2, of the shaded region is

A 18

B 24

C 27

D 45

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR2

8/6/2019 Review Exercise 22 Objective)

3/9

10. The diagram shows a composite figure

consisting of a trapezium and a semicircle. The

area, in cm2, of the figure is

A 192

B 269C 307

D 384

Questions 11 and 12 are based on the diagram below.

In the diagram,PQRSis a square with sides of length 14 cm.

PXSand QXR are two semicircles of the same size.

11. The perimeter, in cm, of the shaded region is

A 44

B 51

C 65

D 72

12. The area, in cm2, of the shaded region is

A 21B 34

C 42

D 58

13. The diagram shows a sector of a circle.

The length, in cm, of the arc GHis

A 3

B 5

C 6

D 7

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR3

8/6/2019 Review Exercise 22 Objective)

4/9

14. In the diagram, MNand UVare two arcs of circles with the common centre O. Mand

Nare the midpoints ofOUand OV.

Given that OU = OV= 14 cm and 7

22, the perimeter, in cm, of the shaded region

is

A 143

2

B 293

1

C 44

D 58

15. In the diagram, O is the centre of a circle with radius 9 cm.

If the length of the major arcLMis 102

1 cm, then the value ofx is

A 100

B 120

C 150

D 210

16. In the diagram, O is the centre of a circle andFG = 4.2 cm.

The perimeter, in cm, of the figure is

A 8.6

B 22

C 26.2

D 34.6

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR4

8/6/2019 Review Exercise 22 Objective)

5/9

17. The diagram shows a trapezium OPRS.PTis an arc of a circle with centre O.

The perimeter, in cm, of the shaded region is

A 34.67

B 36.79

C 37.67

D39.79

18. In the diagram, the length of the major arcPQ is 20 cm.

The radius, in cm, of the circle is

A 16

B 18

C 22

D 24

19. The diagram shows a hemispherical bowl with radius 4.9 cm and centre O. A marble

is released from pointPand it reached the point Q.

If the distance covered by the marble is 11.55 cm, then the anglePOQ, in degrees, is

(Use =7

22)

A 120

B 135

C 150

D 160

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR5

8/6/2019 Review Exercise 22 Objective)

6/9

U

20. A sector of a circle with radius 7 cm subtends an angle of 45 at the centre. By taking

=7

22, find the area, in cm2, of the sector of the circle.

A 19.25

B 20.75C 22.25

D 25.5

21. In the diagram, O is the centre of a circle. Ifthe area of the major sectorOUVis 54 cm2,

calculate the radius, in cm, of the circle.

A 6

B 9

C 15

D 16

22. The diagram shows a sector of a circle withan area of 20 cm2. The size of the anglePOQ, indegrees, is

A 36

B 45

C 72

D 80

23. In the diagram, OLMis a sector of a circle with radius 7 cm and centre O.

By taking =7

22, the area, in cm2, of the shaded region is

A 14

B 15

C 20

D 24

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR6

8/6/2019 Review Exercise 22 Objective)

7/9

24. In the diagram, O is the common centre of sectors of two circles.

The area, in cm2, of the shaded region is

A 27

B 45

C 48

D 75

25. In the diagram,LMNandPQR are sectors of two circles with different radii.

If the sectors have the same area, then the value ofJ, in cm, is

A 4

B 6

C 8D 12

Questions 26 and 27 are based on the diagram below.

In the diagram,PQR and QPSare sectors of two circles with radius 9 cm each.

26. The perimeter, in cm, of the shaded region is

A 8

B 4 + 9

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR7

8/6/2019 Review Exercise 22 Objective)

8/9

C 8 + 9

D 8 + 18

27. The area, in cm2, of the shaded region is

A 18 B 27

C 36

D 54

28. In the diagram, OPQ and ORSare sectors of circles with radiix cm and 5 cm

respectively.

If both the sectors have the same area, then the value ofx is

A 8

B 10

C 12

D 15

29. In the diagram, MNis an arc of a circle with centreE.EMFandENG are straightlines.

If the area of the shaded region is (29 ) cm2, then the length, in cm, ofMEis

A 4

B 6

C 7

D 8

30. The diagram shows a parallelogramPQRS. QTis an arc of a circle with centreP.

The area, in cm2, of the shaded region is

A 162 27

B 162 54

C 189 27

D 189 54

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR8

8/6/2019 Review Exercise 22 Objective)

9/9

Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR9