Page 5 - Matematik Tam_Modul A+_Pan Asia Publications

Uji Kendiri 1.1

1. Tukarkan 451° 15′ kepada radian. Beri jawapan anda 2. Tukarkan 4π rad kepada darjah.
kepada tiga tempat perpuluhan. 3
Convert 451° 15′ to radians. Give the answer correct to three Convert 4π rad to degrees.
significant figures. 4π 3 180°

q = 451° 15′ × π q = 3 × π
180°
SP 1.2.1
= 7.876 rad = 240°

3. Rajah menunjukkan sebuah bulatan berpusat O di mana 4. Rajah menunjukkan sebuah sektor AOC berpusat O.
sudut AOB = 108° 42′. AOB ialah sebuah segi tiga bersedut tegak di B.
(b)©PAN ASIA PUBLICATIONS
The diagram shows a circle with centre O where the angle The diagram shows a sector AOC with centre O. AOB is a
AOB = 108° 42′. right-angled triangle at B.
A
θ 5
O 4
B
108°42’
θ
O B C
A
Cari sudut q, dalam radian.
Cari sudut q dalam radian. Find the angle q, in radians. KBAT Mengaplikasi
Find the angle q in radians.
360° – 108° 42′ = 251° 18′ sin q = 4
5
π q = 53.13°
q = 251° 18′ × 180° π

= 4.386 rad = 53.13° × 180°
= 0.927 rad

1.2 Panjang Lengkok Suatu Bulatan Buku Teks
Arc Length of a Circle m.s. 5-11

1. Hitung panjang lengkok bagi setiap yang berikut.
Calculate the length of arc for each of the following. TP 3

(a)
Contoh/Example s

B A B
14 cm 1.8 rad
s = jq 7 cm s = 1.8 × 7
O θ = 1.1 rad s = 14(1.1) O = 12.6 cm
= 15.4 cm
A

(c)
s s

B
A A
2.5 cm
O 0.4 rad
O 1.5 cm B
240°
s = (π – 0.4)(1.5)
(360° – 240°)
s = × π(2.5) = 4.11 cm
180°
= 5.24 cm

3

01 ModulA+ MateTambahan Tg5.indd 3 10/30/20 10:02 AM