Page 21 - Module & More Matematik Tambahan TG5

Matematik Tambahan Tingkatan 5 Bab 1 Sukatan Membulat

Praktis SPM 1 Praktis Ekstra
SPM
SPM 1
1

BAB Kertas 1 Diberi bahawa panjang perentas ialah 8 cm, cari
Given the length of the chord is 8 cm, find
1. Rajah di bawah menunjukkan pandangan hadapan (a) sudut q, dalam radian,
Buku sebahagian mural berbentuk segi empat tepat the angle q, in radians,
Teks 10 m × 8 m. ABP dan DCP adalah dua sektor (b) luas rantau berlorek itu.
ms. 8-18 the area of the shaded region.
serupa berpusat P dan BC adalah selari dengan FE.
Bahagian berlorek perlu dicatkan. (a) 8 = 15 + 15 – 2(15) kos q
2
2
2
2
The diagram below shows a front view of a rectangular
2
2
mural of 10 m × 8 m. ABP and DCP are two similar kos q = 15 + 15 – 8 2
sectors with centre P and BC is parallel to FE. The shaded 2(15)(15)
region needs to be painted. q = 30.93°
F 10 m E
30.93° × 2π = 0.54 rad
B 4 m C 360°
8 m
(b) Luas tembereng
Area of segments
1
A P D = 1 (15) (0.54)− (15) sin30.93°
2
2
2
Cari perimeter dan luas bahagian berlorek itu. DPelangi Sdn. Bhd. 2
Find the perimeter and area of the shaded region. = 2.93 cm 2
4 = 5 + 5 – 2(5)(5) kos q F 10 m E
2
2
2
5 + 5 – 4 2
2
2
kos q =
2(5)(5) B 4 m C 8 m 3. Rajah menunjukkan satu bulatan dengan pusat O
q = 47.16° Buku dan jejari 7 cm. Diberi bahawa panjang lengkok
Teks
∠APB = ∠CPD ms. 2-18 minor AB ialah 10 cm, cari
180° − 47.16° A 5 m P The diagram shows a circle with centre O and radius
= 7 cm. Given that the minor arc length AB is 10 cm, find
2
= 66.42° = 1.159 rad
Panjang lengkok AB = CD = 5(1.159)
Arc length Penerbitan O B
Perimeter rantau berlorek
Perimeter of shaded region
= 2(8) + 10 + 4 + 2(5)(1.159) A
= 41.59 cm (a) sudut q, dalam radian,
66.42° the angle q, in radian,
2
Luas sektor APB = × π(5) = 14.49 cm 2
Area of sector APB 360° (b) luas sektor minor.
1 the area of the minor sector.
Luas ∆BCP = (5)(5)sin 47.16°
2
= 9.17 cm 2 (a) 10 = 7(2π − q)
Luas rantau berlorek = 10 × 8 − 9.17 – 2(14.49) 7q = 14π − 10
Area of shaded region = 41.85 m 2 q = 4.85 rad
1 1
2
2
2. Rajah di bawah menunjukkan sebuah sektor (b) Luas = j q = (7) (2π − q)
2
2
Buku berpusat O. Area 1 10
Teks The diagram below shows a sector with centre O. = (7) 2  
ms. 2-18 2 7
P
= 35 cm 2
15 cm

O Q
18
01 M&M Mate T Tg5.indd 18 09/12/2022 12:20 PM