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}. $