Page 8 - 1202 Question Bank Additional Mathematics Form 5

16. Two connecting gears are rotating simultaneoulsy. B
The smaller gear has a radius of 5 cm whereas the
larger gear’s radius is 9 cm.
(a) What is the angle subtended by the larger gear
if the smaller gear has made one complete A C
rotation? [4 marks]
(b) How many rotations will the smaller gear make if 2 θ rad r m
the larger gear makes one complete rotation?
[4 marks] P
Answer: Given that ∠APC = 2θ rad, express the width AC of the
©PAN ASIA PUBLICATIONS
(a) tunnel and the area of the wall filled up by the cement,
in terms of r and θ respectively. HOTS Analysing
[8 marks]
Answer:

(b)

19. The length of a chord PQ of a circle with centre O and
a radius of 3 cm is 4.4 cm. Calculate
(a) the angle subtended at the centre of the circle, in
radians, [4 marks]
(b) the area of the segment enclosed by the chord PQ
and the arc PQ. [4 marks]
17. A sector of a circle with angle θ and a radius of r cm
has an area of 5 cm and its perimeter is 9 cm. Find Answer:
2
the possible values of r and θ. (a)
[8 marks]
Answer:

(b)

18. The diagram shows the cross-section of a tunnel with
its width AC is the diameter of a semicircle ABC. The
shaded region is the wall of the tunnel and is fill up
with cement. The cross-section of the tunnel is in the
form of a sector with centre P and a radius of r m .
6 Question 17:
SOS TIP Relate the arc length to the area of the sector. 66

01_1202 QB AMath F5.indd 6 02/12/2021 8:44 PM