Question 74

If the radius of a circle is increased by 6%,then the area of the circle is increased by

Solution

Let radius of circle be $$r=1$$ units

=> Area = $$\pi r^2=\pi$$ sq.units

Now, after 6% increase, new radius = $$r'=1.06$$ units

=> New area = $$\pi(r')^2=1.1236\pi$$ sq. units

$$\therefore$$ Increase in area = $$\frac{1.1236-1}{1}\times100=12.36\%$$

=> Ans - (D)

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