Understanding Engineering Mathematics

(b) (i) 4 (ii)

√

119 (iii) 7

(iv) 15 (v)

√

7

B.

√

61

5.3.9 Lines and angles in a circle

A. (i) 70° (ii) 140° (iii) 30°

(iv) 43°

B. (i) AOCandBOCare 17. 5 °, 145°, 175°;AOBis 55°,70°,55°

(ii) AOCandBOCare 35°, 110°,35°;AOBis 20°, 140°,20°

(iii) AOCandBOCare 15°, 150°,15°;AOBis 60°,60°,60°

(iv) AOCandBOCare 21. 5 °, 137°,21. 5 °;AOBis 47°,86°,47°

C. (i) a= 18 ° (ii) a=c=d= 50 °

(iii) a= 55 °,d= 45 ° (iv) a= 50 °

D. (i) a= 18 °,b= 36 ° (ii) a= 30 °,b= 60 °,c= 30 °

(iii) a= 65 °,b= 50 °,c= 50 ° (iv) a= 50 °,b= 65 °

(v) a= 36 °

E. 5

√

3cm

F.

√

2 ( 1 +

√

2 )

5.3.10 Cyclic quadrilaterals

a= 30 °