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Answers

13. 13 years Exercise 5.2
14. 1,254,800
1. Cut a sector of central angle 135°
15. Tshs 1532982.70 2. 19.1°
5
16. 3. 1.57 cm
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2
17. 330 4. 36.7 m

18. 728 5
5. (a) π cm (b) 5 cm
19. 2 fn + (g − ) f 2
(c) 3 cm
20. 7 2n− + log 3 6. 9.15 m
2
21. a = 4, b = 10 8. 17.5 cm

22. 990 9. 248 π cm
3 8 9
23. r = ; 46
2 9 10. 34.4°
24. (a) 73 m (b) 480 m
Exercise 5.3
25. 77.38%

26. 38,385 1. (a) π (b) π (c) 8 π
18 4 9
27. 3 years
2. (a) 57.30° (b) 17.19° (c) 286.48°
28. (a) 526 (b) 13 years
4 10π
3. (a) π (b)
Chapter Five 9 3

(c) 4 π (d) 7 π
3 4

Exercise 5.1 4. (a) 10 cm (b) 1.4 cm (c) 25 cm
5. (a) 45° (b) 120°
1. d = 2r
(c) 315° (d) 270°
2. (a) r = 6 cm (b) d = 12 cm 4 Mathematics for Secondary Schools
3. Radius = OQ = OR = OE 6. (a) π (b) 6π (c) 42π
, 3
Diameter ERd = , chords CD, ER 2π 9π
7. (a) (b) (c) 24π
44 cm
4. (a) d = 14 cm , c = 44.0 cm 3 2

(b) d = 26 cm, r = 13 cm 8. 3333 radians
2 aπ
(c) r = a cm, c = 6.3a cm Exercise 5.4
cm
a π
(d) d = cm, c = 1.0a cm 1. (a) x = 30° (b) 72°
a
cm
3 3
Student\s Book Form Three 197

18/09/2025 10:00:17
MATHEMATIC F3 SB.indd 197 18/09/2025 10:00:17
MATHEMATIC F3 SB.indd 197