Question 83

If the radius of a circle is increased by 29% its area increases by

Solution

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Let radius = 10 cm

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

If radius is increased by 29%, => New radius = 12.9 cm

New area = $$\pi (12.9)^2 = 166.41 \pi$$ sq. cm

=> % increase in area = $$\frac{166.41 - 100}{100} \times 100$$

= 66.41 %

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