Q. 5

# On increasing the diameter of a circle by 40%, its area will be increased byA. 40%B. 80%C. 96%D. 82%

Let the radius if circle be r

Area of circle = A = πr2

So, New Radius r’ = r + 40/100 × r = 1.4r

New Area of circle = A’ = πr’2 = π × (1.4r)2

= 1.96πr2

Percentage increase in area =

= = .96 × 100 = 96

Increase in area = 96%

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