Q. 5

On increasing the diameter of a circle by 40%, its area will be increased by
A. 40%

B. 80%

C. 96%

D. 82%

Answer :

Let the radius if circle be r


Area of circle = A = πr2


Radius increases by 40%


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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