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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