Amusementorganisedcircularchildrenclusterssuppliedstallssituatedshownfigure

An amusement fair was organised in a circular park for the children of slum clusters. Free … social issues for which such compaigns…

Answers:

(i) From figure , it is clear that angle between the lines joining stalls

C,D and stalls C, B is ∠BCD .

Given, ∠DBC = 60°

 and ∠BAC = 40°

CD is a chord of circle. Here, ∠CBD and ∠CAD

 are angles in the same segment of the circle.

∴ ∠CAD = ∠CBD = 60°

Now, ∠BAD = ∠BAC + ∠CAD

= 40° + 60° =100°

 Since, ABCD is a cyclic quadrilateral.

∠BAD + ∠BCD =180°

⇒ 100° + ∠BCD =180°

⇒ ∠BCD =180°-100°

 ∠BCD = 80°

Hence, angle between the lines joining stalls C, D and stalls C, B is 80°.

(ii) Yes, such activities are helpful for society.

(iii) Other social issues for which such compaigns are required, are old age home, orphanages, etc.