Page 71 - Focus SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 1 Circular Measure
2. Calculate the area, A, for each of the following (c)
sectors by using π = 3.142.
(a) (b) θ
O
2.2 cm 2.16 cm 1.42 cm
O O 2
191 Area of sector = 4.12 cm
4 π rad
2
3 6. Calculate the area, in cm , of the shaded segments
for each of the following circles.
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(c) (a) (b)
3.6 cm O 6.1 cm 20.1 cm
47.6
1.2 rad O O
2.5 rad

3. Calculate the radius, r, for each of the following (c)
sectors.
(a) (b)
0.64 rad O
4.3 rad 2.86 rad 10.4 cm
O
O
7. By using π = 3.142, calculate the area, in cm , of the
2
shaded segment for each of the following circles.
Area of sector Area of sector (a) (b)
= 28.56 cm 2 = 144 cm 2 40.25
(c) O 13.2 cm O O 33.5 cm
0.9 rad 93.4

(c)
2
Area of sector = 6.2 cm
4. Given π = 3.142, calculate the radius, r, for each of 6.12 cm 142.8
the following sectors. O
(a) (b)
O O
45.6
2
54.4 8. Calculate the area, in cm , of the shaded segment
for each of the following circles.
[Use π = 3.142]
Area of sector Area of sector (a)
= 4.97 cm 2 = 24.06 cm 2 N
4.14 cm 4 cm
(c) 1.2 rad
M O
O

277.8 (b)
Form 5
Area of sector = 123.56 cm O
2
12.46 cm
5. Calculate the angle q, in radian, for each of the
following sectors. 17.6 cm N
(b) M
(c)
5.5 cm θ M 19.98 cm
θ O O 8.75 cm O
39.3 cm
Area of sector Area of sector N
= 20 cm 2 = 124.6 cm 2

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