Solution
Let radius = 10 cm
=> Area of circle = $$\pi (10)^2 = 100 \pi$$ sq. cm
If radius is increased by 31%, => New radius = $$10 + \frac{31}{100} \times 10$$ = 13.1 cm
New area = $$\pi (13.1)^2 = 171.61 \pi$$ sq. cm
=> % increase in area = $$\frac{171.61 - 100}{100} \times 100$$
= 71.61 %
=> Ans - (D)
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