Page 8 - Modul A+1 Matematik Tambahan Tingkatan 5

4. Hitung perimeter bagi setiap kawasan berlorek.
Calculate the perimeter for each of the shaded region. TP 3

Contoh/Example (a) P
6.5 cm
D O 0.45 rad
A BAB 1
5 cm Q
O 1.6 rad
Perimeter = 6.5 + 6.5 + 6.5(0.45)
B = 13 + 2.93
4 cm = 15.93 cm
C
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Panjang lengkok AB/Length of arc AB = 5(1.6) = 8 cm
Panjang lengkok CD/Length of arc CD = 9(1.6) = 14.4 cm
Perimeter kawasan berlorek/Perimeter of the shaded region
= AB + BC + CD + AD
= 8 + 4 + 14.4 + 4
= 30.4 cm

(b) S (c) P
4 cm S
P T
6.2 cm
O
1.8 rad 0.5 rad
Q O Q 3 cm R

R 4
OP =
Panjang lengkok SR = 12.4(1.8) 0.5
= 22.32 cm = 8 cm
Panjang lengkok PQ = 6.2(1.8) Panjang lengkok SR = 11(0.5)
= 11.16 cm = 5.5 cm
Perimeter = 11.16 + 6.2 + 22.32 + 6.2 Perimeter = 3 + 5.5 + 3 + 4 + 4 + 8 + 8
= 45.88 cm = 35.5 cm

5. Hitung jejari, j bagi setiap yang berikut.
Calculate the radius, j for each of the following. TP 4

Contoh/Example (a) Q

1
— rad
T 5 O
V 13 cm
j 8 cm
U
W 1.2 rad

Perimeter rantau berlorek = 20 cm O j P
Perimeter of the shaded region = 20 cm
VT = WU = 5 cm Perimeter rantau berlorek = 22.4 cm
1
1
5 + j + ( j + 5) + 5 = 20 Perimeter of the shaded region = 22.4 cm

5 5
2 j = 9 1.2j + (13 – j) + 8 = 22.4
5 1.2j – j + 21 = 22.4
j = 45 0.2j = 1.4
2 j = 7 cm
= 22.5 cm

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