Question 81

If the radius of a circle is increased by 17% its area increases by ______.

Solution

Let radius = 10 cm

=> Area of circle = $$\pi (10)^2 = 100 \pi$$ sq. cm

If radius is increased by 17%, => New radius = 11.7 cm

New area = $$\pi (11.7)^2 = 136.89 \pi$$ sq. cm

=> % increase in area = $$\frac{136.89 - 100}{100} \times 100$$

= 36.89 %

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