If the perimeter of a circle is equal to that of a square then what is the ratio of area of circle t...........

Quantitative Aptitude (CDS) Mensuration 2D

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If the perimeter of a circle is equal to that of a square, then what is the ratio of area of circle to that of square?

22 : 7

14 : 11

7 : 22

11 : 14

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Explanation:

Perimeter of circle when radius r = Perimeter of square with side a
=>2 $\pi$ r=4a
=>a=2 $\pi$ r / 4= $\pi$ r/2…………(i)
Arear of circle / area of square = ( $\pi$ r²)/ a²
$=\frac{\pi r^{2}}{(\frac{\pi r}{2})^{2}}$
=4 / $\pi$
=14/11
Hence option (2)