Page 24 - Hybrid PBD 2022 Tg 5 - Matematik Tambahan

Matematik Tambahan Tingkatan 5 Bab 1 Sukatan Membulat
4. Tentukan jejari bulatan, j, diberikan panjang lengkok dan sudut bagi setiap bulatan yang berikut.
Determine the radius of the circle, j, given the arc length and the angle in each of the circles. SP 1.2.1 TP2

(a) (b)
14.5 cm j 46.8°

4.68 rad O j
O j 4 _ θ O
23.6 cm 3 π rad
56.8 cm
23.6 q = 360° – 46.8°
j = 4
s = jq 3 π = 313.2°
j = s = 5.634 cm q° = s
q 360° 2πj
j = 14.5 313.2° = 56.8
4.68 360° 2πj
= 3.1 cm 56.8 × 360°
j =
313.2° × 2π
= 10.39 cm
(d) (e)
(c)
6.3 cm π __ 21.4 cm
j
8
j
1.41 rad θ O O j
31.2 cm
O

3
π
s = jq q = 2π – π + 2  24 = 5π q° = s
2πj
360°
4
8
s

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q 31.2 120° = 21.4
j = 6.3 j = 5π 360° 2πj
1.41 4 21.4 × 360°
= 4.47 cm = 7.95 cm j = 120° × 2π
= 10.22 cm
5. Tentukan sudut tercangkum, q dalam radian, di pusat bulatan dengan diberikan jejari bulatan dan panjang
lengkok bagi setiap bulatan yang berikut. SP 1.2.1 TP3
Determine the subtended angle, q, in radians, at the centre of the circle given that the radius and the arc length of each of the following
circles.

(a) (b)
4.8 cm 33.7 cm
θ θ O 5.8 cm
3.2 cm O O 13.4 cm θ

4.4 cm
Daripada/From s = jq 4.4
q = s q = 33.7 2π – 3q = 5.8
j 13.4 q = 1.84 rad
q = 4.8 q = 2.515 rad
3.2
q = 4.783 rad

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01 Hybrid PBD Mate Tamb Tg5.indd 3 09/11/2021 9:20 AM