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Mathematics Form 3 Chapter 6 Angles and Tangents of Circles Mathematics Form 3 Chapter 7 Plan and Elevations
Section C 2. (a) ∠MOL = 38° × 2 CHAPTER
= 76° 7 Plans and Elevations
1. (a) (i) ON = (5 – 1) cm x = 180° – 90° – 76° Pelan dan Dongakan
= 4 cm x = 14°
y = 180° – 76°
2
NB = 5 – 4 2
= 3 cm y = 104°
1. View from Orthogonal
2
2
BD = 3 + 9 (b) x = ∠LKM × 2 Pandangan projections (b) Plan / Pelan
= 90 = 30° × 2 dari Unjuran ortogon
= 60° Plan / Pelan
3 ∠KML = 90° 2 cm
(ii) tan ∠NDB = Plan/Pelan 2 cm
9 y = 180° – 90° – 30° 4 cm
∠NDB = tan –1 3 y = 60° Y 4 cm X
9
= 18.43° (b) (i) x = 180° – 38° X
= 142°
∠ADB = 2 × ∠NDB X Y
= 36.9°
(ii) ∠MGP = x (minor arc)
= 142°
(b) (i) x = 90° – 50° ∠MGP = 360° – 142° (major arc) Y 2 cm 2 cm
= 40° = 218°
y = 218° ÷ 2 4 cm
(ii) ∠LOA = 65° × 2 = 109° 2. (a) ✓ ✗ ✓ (b) ✗ ✓ ✓ 2 cm
= 130° 3. (a) (b)
180° – 130° (iii) x + y = 142° + 109°
∠OAL = = 251°
2
= 25° (c)
(c) x = 180° – 90° – 70° 4. Plan / Pelan
∠BAL = ∠BLK
y + 25° = 50° = 20° (a) Plan / Pelan Plan / Pelan Plan / Pelan 1.25 cm 1.25 cm
y = 25°
2 cm 1.5 cm 1.5 cm
(iii) x + y = 40° + 25° HOTS Challenge
= 65° 4 cm 2 cm X 4 cm
S = 2πr = 60 cm 2 cm 4 cm
(c) ∠CAB = 40° 22 A
2 × × OE = 60 cm X 2.5 cm
7 Y
∠ ABC = (180° – 40°) ÷ 2 OE = 60 × 7 ÷ 44 = 9.55cm Y 2 cm
= 70° l 30 cm 2.5 cm
AE = 30 + 9.55 = 31.48cm X Y
2
2
∠ CBE = 180° – 70° X Y
= 110° B / E r O
x = 180° – 110° – 40° 0.8 cm 1.5 cm 1.5 cm
= 30° 4 cm 4 cm
2 cm
2 cm
4 cm
2.5 cm
2 cm 2 cm
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BOOKLET ANS MATH F3.indd 15 03/01/2020 10:20 AM
