review exercise 22 (subjective)

8/18/2019 Review Exercise 22 (Subjective)

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Review Exercise 22

Subjective Questions

1. The diagram shows a circle. Name

(a) the point O,

(b) the straight line PQ,

(c) the straight lineOU ,

(d) the shaded region.

2. By constructing the perpendicular bisectors of the two given chords, determine the

centre and radius of each of the circles.

(a) (b)

3. Copy and complete the table below. Use !"

##.

(a)

Diameter (cm) $% #$ %.& &.$

Circumference (cm)

(b)

© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR

Radius (cm) '. %.# &. $".

Circumference (cm)

1


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Review Exercise 22

4. Copy and complete the table below.

Circumference Diameter Radius

(a) '* cm

(b) ##* m

(c) '# m

(d) "# mm

5. Calculate the perimeter of the following shaded regions.

(a) (b)

(c) (d)

6. Copy and complete the table below.

Radius Diameter Circumference Area of circle

(a) $% cm

(b) $$.# m

(c) %% mm

(d) $ #*".'+ cm#

© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR2


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Review Exercise 22

7. or each of the following shaded regions, calculate its

(i) area (ii) perimeter

(a) (b)

(c) (d)

8. The diagram shows the cross-section of a

large water pipe. By using ! '.$%, calculate the

area of the shaded region.

9. By taing !"

##, copy and complete the table below.

en!t" of arc An!le at centre Radius

(a) %*/ +.' cm

(b) #. m '$. m

(c) #+% mm #**/

(d) "&.# cm $.& cm



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Review Exercise 22

1#. The diagram shows a simple pendulum thatswings from point P to point Q through an angle of

'*/. 0f the length of arc PQ is cm, calculate the

length of the string of the pendulum.

(Use !"

##)

11. By using a pair of compasses, uad draws

an arc MN of a circle with centre O. 0f the length of

the arc MN is $.% cm and ∠ MON ! $%"/,

calculate the radius of the circle.

(Use !"

##)

12. The radius of a bicycle wheel is #$ cm. 0f the bicycle wheel moves forward in a

straight line through a distance of $$* cm, calculate the angle of rotation of the

wheel.

(Use !"

##)

13. 1 circle has a radius of & cm. By using !

"

##, copy and complete the table below.

An!le at centre #/ '/ +/ #$*/

Area of sector cm2

14. (a) 0n the diagram, the area of the shaded

sector is $ cm#. By using !"

##,

calculate the angle 2.



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Review Exercise 22

(b) 0n the diagram, the area of the shaded

sector is $%. cm#. By using !"

##,

calculate the radius of the circle.

15. The diagram shows an arc LMN of a circle

with radius " cm and centre O. OQN is a

semicircle. By taing !"

##, calculate

(a) the perimeter of the shaded region.

(b) the area of the shaded region.

16. 0n the diagram, PST is an arc of a circle with

radius " cm and centre O such that ∠ POT ! $%%/.

OMN is a 3uadrant of a circle. M is the midpoint of

OP and OQ ! #% cm.

By using !"

##, calculate

(a) the perimeter of the whole figure.




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Review Exercise 22

17. 0n the diagram, KQM is an arc of a circle

with radius + cm and centre O. OPF is a semicircle

with radius " cm and centre C . By taing

!"

##, calculate

(a) the perimeter of the whole

figure.

(b) the area of the whole figure.

18. 0n the diagram, FGHJ is an arc of a circle with radius " cm and centre O.

FKH is a 3uadrant of a circle with centre H . FOH is

a straight line.

By using !"

##, calculate

(a) the perimeter of the whole figure.



review exercise 22 (subjective)

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