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Answers

Exercise 5.12 5. (a) 120 ; ° 2 π (b) 360 , 2π°
3
ˆ
2. ABC 100= ° (c) 810 ; π° 9 (d) 4320 ; 24π°
3. x = 40 , y° = 50° 2
6. (a) 240° (b) 100°
4. PQ = 24 cm
(c) 110°
5. 20 cm
7. 70°
6. 28°
8. 80°
7. 3.12 cm
10. 65°
8. (a) 60° (b) 30°
(c) 60° 12. 70°, 70°

9. x = 70 , y° = 70° 13. (a) 6cm (b) 13 cm

10. 6 3 cm (c) 5 cm
)
(
14. 18.79 cm
8 34 4 cm, TX 18 5 cm−
11. QT = FOR ONLINE READING ONLY
=
15. 9cm
Revision exercises 5
16. 12.1cm
1. 18.2 ,36.4° ° 17. 65°

2. 0.15 cm
18. (a) 280° (b) 60°
3. (a) a = 2 cmπ , b = 4 cm,π
(c) 120°
c = 6 cmπ 19. 7.9cm

5 14
(b) a = π cm, b = 5 cm, c = π cm
π
3 3 20. 68°
5 16 Mathematics for Secondary Schools
π
a = π cm,b = 5 cm,c = π cm 21. (a) 5.2cm (b) 30°
3 3
π 2 22. (a) 7.7cm (b) 4.6cm
4. (a) (i) (ii) π
4 3 ˆ ˆ
3 5 23. PQT = 70 ; PTQ° = 75°
(iii) π (iv) π
4 6 24. x = 9, y° = 18, PRQ° ˆ = 45,°
ˆ
=
(b) (i) 90° (ii) 30° PTR 18°
(iii) 225° (iv) 600° 25. 17cm

Student\s Book Form Three 199

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MATHEMATIC F3 SB.indd 199