Page 16 - Modul A+1 Matematik Tambahan Tingkatan 5

Uji Kendiri 1.4

1. Rajah menunjukkan sebuah bulatan berjejari 6.5 cm 2. Rajah menunjukkan sepotong tembikai dengan keratan
dan berpusat O. Diberi bahawa panjang AB adalah rentas seragamnya berbentuk sektor berpusat O.
sama dengan panjang AC. The diagram shows a uniform cross-section of a piece of
The diagram shows a circle with a radius of 6.5 cm and watermelon in the shape of a sector with centre O.
centre O. Given that the length of AB is the same as AC. KBAT Menilai BAB 1
KBAT Menilai
10 cm
B
O
A θ
C
O D
50°
A B
C
Diberi bahawa panjang lengkok AB dan CD masing-
masing ialah 20 cm dan 16 cm dengan bahagian ABCD
Cari/Find tidak boleh dimakan. Jika AC = 2 cm dan panjang
(a) perimeter kawasan berlorek,
the perimeter of the shaded region, potongan tembikai itu ialah 10 cm, cari
(b) luas kawasan berlorek. Given that the arc length AB and CD is 20 cm and 16 cm
respectively with the portion ABCD is not edible. If AC = 2 cm
the area of the shaded region. and the length of a piece of the watermelon is 10 cm, find
(a) ∠BAO = 25° (a) nilai q, dalam radian,
Panjang AB = 2(6.5 kos 25°) the value of q, in radians,
= 11.78 cm (b) isi padu bahagian yang boleh dimakan.
Panjang lengkok AB (a) the volume of the area that can be eaten.
OC(q) = 16 ..............a
p
= 6.5 × 130° × 180° (OC + 2)q = 20
= 14.75 cm OC(q) + 2q = 20 ..............b
Perimeter kawasan berlorek b – a: 2q = 20 – 16
q = 2 rad
= 2(11.78) + 2(14.75) 16
= 53.06 cm (b) OC = 2 = 8 cm
(b) Luas kawasan berlorek Isi padu = (8) (2) × 10
1
2
]
[
p
1
2
1
– (6.5) sin 130°
©PAN ASIA PUBLICATIONS
× 6.5 × 130° ×
= 2
2
2
180°
2
2
= 640 cm

3
= 63.5 cm 2
SPM
Soalan Berformat SPM
Kertas 1 Paper 1
Bahagian A/Section A
1. Rajah menunjukkan sebuah bulatan berpusat O dengan jejari 5 cm. Diberi OQTC ialah C T
sebuah segi empat tepat dengan luas 40 cm , cari B
2
The diagram shows a circle with centre O and a radius of 5 cm. Given OQTC is a rectangle with an θ
2
area of 40 cm , find KBAT Menilai O A Q
(a) nilai q, dalam radian,
the value of q, in radians, [2 markah/marks]
(b) luas sektor OAB,
the area of the sector OAB, [2 markah/marks]
(c) perimeter kawasan berlorek.
the perimeter of the shaded region. [2 markah/marks]
)
(a) OC × CT = 40 (c) Panjang lengkok AB = 5 ( π – 1.01 = 2.80 cm
5 × CT = 40 2
º CT = 8 cm Panjang BT = ! 8 + 5 – 5 = 4.43 cm
2
2
tan q = 8 Perimeter = 2.80 + 4.43 + 3 + 5 = 15.23 cm
5
q = 58° × π = 1.01 rad
180°
(
)
1
(b) Luas sektor OAB = (5) 2 π – 1.01 = 7.01 cm 2
2 2
13
01 Modul Series MateTam Tg5.indd 13 04/10/2021 2:15 PM