Quantitative Aptitude Ques 680

Question: If the radius of circle is increased by 50%, then what will be the percentage increase in its area?

Options:

A) 125%

B) 100%

C) 50%

D) 75%

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Area of circle $ =\pi r^{2} $ New radius $ =r+\frac{50}{100}r=\frac{3r}{2} $ New area $ =\pi {{( \frac{3r}{2} )}^{2}}=\frac{9\pi r^{2}}{4} $

$ \therefore $ Increase percentage $ =\frac{\frac{9\pi r^{2}}{4}-\pi r^{2}}{\pi r^{2}}\times 100 $ % $ =\frac{5\pi r^{2}}{4,\times ,\pi r^{2},},\times 100 $ %=125%

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