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Question 59
If the diameter of a circle increases by 15%, then what will be the percentage increase in its area?
Solution
If the diameter of a circle increases by 15%, then radius also increases by 15%
Percentage increase in area = $$r+r+\dfrac{r^2}{100}$$ where r = change in radius
Therefore, Percentage increase in the area = $$15+15+ \dfrac{15^2}{100} = 30+\dfrac{225}{100} = 30+2.25 = 32.25$$%
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