Page 6 - Modul A+1 Matematik Tambahan Tingkatan 5

Uji Kendiri 1.1

1. Tukarkan 451° 15′ kepada radian. Berikan jawapan 2. Tukarkan 4π rad kepada darjah.
betul kepada tiga tempat perpuluhan. 3
Convert 451° 15′ into radians. Give answer correct to three Convert 4π rad into degrees.
3
decimal places. 4π 180°
q = 451° 15′ × π q° = 3 × π BAB 1
180°
= 7.876 rad = 240°

3. Rajah menunjukkan sebuah bulatan berpusat O dengan 4. Rajah menunjukkan sebuah sektor AOC berpusat O.
keadaan sudut minor AOB ialah 108° 42′. AOB ialah segi tiga bersudut tegak di B.
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The diagram shows a circle with centre O where the minor The diagram shows a sector AOC with centre O. AOB is a
angle AOB is 108° 42′. right-angled triangle at B. KBAT Mengaplikasi
A
θ
O 5 4
B
108° 42’ θ
O C
B
A
Cari nilai q, dalam radian.
Cari nilai q, dalam radian. Find the value of q, in radians.
Find the value of q, in radians.
360° – 108° 42′ = 251° 18′ sin q = 4
5
π
q = 251° 18′ × 180° q = 53.13°
π
= 4.386 rad q = 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 arc length for each of the following. TP 3
Contoh/Example (a)
s

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

(b) (c)
s s

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

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