Page 63 - Focus SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 1 Circular Measure
2. Using π = 3.142, calculate the arc length s for each (c)
of the following sectors.
(a) (b) s 3.13 cm O θ
s
2 π rad 174.8º 12.7 cm
O 5
4.4 cm O
3.88 cm 6. Calculate the perimeter, in cm, of the shaded
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segment for each of the following circles.
(c) (a) (b)
1
Minion Pro 10pt = — 302.5º 6.5 cm
2 s 1.12 rad
---------------------------------------- O O 2.52 rad O
Arial 8.5pt = 1 2.24 cm 3.88 cm
2
1
Arial 8pt = (c)
2
---------------------------------------- 3. Calculate the radius r for each of the following O 4.06 cm
sectors.
Cth KBAT_Optima 9pt = 80 (a) 11.38 cm 1.9 rad
1.25
---------------------------------------- 2.24 rad r
O 7. Calculate the perimeter, in cm, of the shaded
----------------------------------------
segment for each of the following circles.
(b) [Use π = 3.142]
0.28 rad (a) (b)
2.32 cm
O 4.28 cm
r O 4.78 cm O 138.2º
(c) 105.7º
r
O
4.2 rad (c)
15.93 cm
33.3º 5.1 cm
4. Calculate the radius r for each of the following
sectors by using π = 3.142. O
(a) 4.1 cm (b) 8.8 cm

r 105.3º 8. Given the radius and the length of chord AB.
41º r Calculate the perimeter, in cm, of the shaded
O segment for each of the following circles.
O [Use π = 3.142]
(c) (a) A (b) 9.65 cm
r A B
Form 5
O 9 π rad
5 8.3 cm
4.95 cm
O B 12.2 cm
17.1 cm O
5. Calculate the angle q, in radian, for each of the
following sectors. (c) B
(a) O (b) 16.18 cm

θ 9 cm
5.2 cm O θ O
10.11 cm A
5 cm
2.7 cm

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