SATHEE: Quantitative Aptitude Ques 1062

Quantitative Aptitude Ques 1062

Question: If a wire is bent into the shape of a square then area of the square is $ 81cm^{2}. $ When the wire is bent into a semi-circular shape, the are of the semi -circle is $ ( take,\pi =\frac{22}{7} ) $

Options:

A) $ 154cm^{2} $

B) $ 77cm^{2} $

C) $ 44cm^{2} $

D) $ 22cm^{2} $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Let a be the side of square. $ a^{2}=81\Rightarrow a=9,cm $

$ \therefore $ Perimeter of square $ =4\times 9=36m $

$ \therefore $ Length of wire $ =36,m $

$ \Rightarrow $ $ \pi r+2r=36 $

$ \Rightarrow $ $ r=\frac{36\times 7}{36}=7cm $

$ \therefore $ Area of circle $ =\pi r^{2}=\frac{22}{7}\times 7\times 7=154,cm^{2} $

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Quantitative Aptitude Ques 1062

Question: If a wire is bent into the shape of a square then area of the square is $ 81cm^{2}. $ When the wire is bent into a semi-circular shape, the are of the semi -circle is $ ( take,\pi =\frac{22}{7} ) $

Options:

Answer:

Solution:

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