Page 21 - Module & More Matematik Tambahan Tg5

Matematik Tambahan Tingkatan 5 Bab 1 Sukatan Membulat

SPM
SPM
PRAKTISS
PRAKTI SPM 1 1
PRAKTIS
1 Kertas 1 (a) sudut q, dalam radian,
the angle q, in radian,
1. Rajah menunjukkan pandangan hadapan (b) luas rantau berlorek itu.
sebahagian mural berbentuk segi empat tepat
the area of the shaded region.
BAB 2014 10 m × 8 m. ABP dan DCP adalah dua sektor (a) 8 = 15 + 15 – 2(15) kos q
2
2
2
2
serupa berpusat P dan BC adalah selari dengan FE.
Bahagian berlorek perlu dicatkan. kos q = 15 + 15 – 8 2
2
2
The diagram shows a front view of a rectangular mural 2(15)(15)
of 10 m × 8 m. ABP and DCP are two similar sectors q = 30.93°
with centre P and BC is parallel to FE. The shaded region
needs to be painted. 30.93°
× 2π = 0.54 rad
F 10 m E 360°
(b) Luas tembereng
B 4 m C Area of segments
8 m 1 1
= (15) (0.54)− (15) sin30.93°
2
2
2 2
A P D = 2.93 cm 2
Cari luas bahagian berlorek itu.
Find the area of the shaded region.
4 = 5 + 5 – 2(5)(5) kos q
2
2
2
3. Rajah menunjukkan satu bulatan dengan pusat O
2
2
kos q = 5 + 5 – 4 2 F 10 m E dan jejari 7 cm. Diberi bahawa panjang lengkok
2(5)(5) 2016 minor AB ialah 10 cm, cari
q = 47.16° B 4 m C The diagram shows a circle with centre O and radius
∠APB = ∠CPD 8 m 7 cm. Given that the minor arc length AB is 10 cm, find
180° − 47.16°
=
2 A 5 m P D
= 66.42°
Luas sektor APB = 66.42° × π(5) = 14.49 cm 2
2
Area of sector APB 360° O B
1
Luas ∆BCP = (5)(5)sin 47.16°
2
= 9.17 cm 2 A
Luas rantau berlorek = 10 × 8 − 9.17 – 2(14.49) (a) sudut q, dalam radian,
Area of shaded region = 41.85 m 2 the angle q, in radian,
(b) luas sektor minor.
the area of the minor sector.
2. Rajah menunjukkan sebuah sektor berpusat O.
The diagram shows a sector with centre O. (a) 10 = 7(2π − q)
2015
7q = 14π − 10
q = 4.85 rad
P
15 cm 1 2 1 2
(b) Luas = j q = (7) (2π − q)
2
2
Area 1 10
O Q = (7) 2  
2 7
= 35 cm 2
Diberi bahawa panjang perentas ialah 8 cm, cari
Given the length of the chord is 8 cm, find
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