Quantitative Aptitude Ques 421

Question: The circumference of two circles is 88 m and 220 m, respectively. What is the difference between the area of the larger circle and smaller circle? [Andhra Bank (PO) 2011]

Options:

A) $ 3422m^{2} $

B) $ 3244m^{2} $

C) $ 3242m^{2} $

D) $ 3234m^{2} $

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ 2\pi r _1=88 $
    $ \Rightarrow , $ $ r _1=\frac{88\times 7}{2\times 22}=14,m $ Area $ =\pi r_1^{2}=\frac{22}{7}\times 14\times 14=616,m^{2} $ Again, $ 2\pi r _2=220 $
    $ \Rightarrow , $ $ r _2=\frac{220\times 7}{2\times 22}=35,m $ Area $ \pi r_2^{2}=\frac{22}{7}\times 35\times 35=3850,m^{2} $ Difference $ =3850-616=3234,m^{2}. $