Page 7 - Matematik Tam_Modul A+_Pan Asia Publications
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4. Hitung perimeter bagi setiap bahagian yang berlorek.
Calculate the perimeter for each of the shaded region. TP 3
(a)
Contoh/Example P OP = 6.5 cm
D OA = 5 cm O θ q = 0.45 rad
q = 1.6 rad
A
BC = 4 cm Q
O θ Perimeter = 6.5 + 6.5 + 6.5(0.45)
= 13.0 + 2.93 SP 1.2.2
B = 15.93 cm
C
Panjang lengkok AB / Length of arc AB = 5(1.6) = 8 cm
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Panjang lengkok CD / Length of arc CD = 9(1.6) = 14.4 cm
Perimeter rantau berlorek / Perimeter of the shaded region
= AB + BC + CD + AD
= 8 + 4 + 14.4 + 4
= 30.4 cm
(b) S (c) P
OP = 6.2 cm 4 cm S PT = 4 cm
q = 1.8 rad q = 0.5 rad
P T
OP = PS
O θ
θ
θ
Q O Q 3 cm R
4
R OP = 0.5
Panjang lengkok SR = 12.4(1.8) = 8 cm
= 22.32 cm Panjang lengkok SR = 11(0.5)
Panjang lengkok PQ = 6.2(1.8) = 5.5 cm
= 11.16 cm Perimeter = 3 + 5.5 + 3 + 4 + 4 + 8 + 8
Perimeter = 11.16 + 6.2 + 22.32 + 6.2 = 35.5 cm
= 45.88 cm
5. Hitung jejari, j, bagi setiap yang berikut.
Calculate the radius, j, for each of the following. TP 4
(a)
Contoh/Example Q
Perimeter rantau berlorek
V Perimeter of the shaded region
T
= 22.4 cm
1 q = 1.2 rad
— rad O 13 cm
5 8 cm
j
U
W θ = 1.2 rad
Perimeter rantau berlorek = 20 cm O j P
Perimeter of the shaded region = 20 cm
VT = WU = 5 cm 1.2j + (13 – j) + 8 = 22.4
1
1
5 + j + ( j + 5) + 5 = 20 1.2j – j + 21 = 22.4
5 5
2 j = 9 0.2j = 1.4
5 j = 7 cm
j = 45
2
= 22.5 cm
5
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