The ratio of the outer and inner perimeters of a circular path is 23 22 If the path is 5 m wide the ...........

Quantitative Aptitude (CDS) Mensuration 2D

The ratio of the outer and inner perimeters of a circular path is 23 : 22. If the path is 5 m wide, the diameter of the inner circle is

55 m

110 m

220 m

230 m

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Explanation:

Let the radius of the inner circular path be r m.
Therefore, the radius of the outer circular path =(r+5)m
Perimeter of the outer circular path : Perimeter of the inner circular path = 23 : 22
$\Rightarrow \frac{2\pi(r+5)}{2\pi r}=\frac{23}{22}$
$\Rightarrow \frac{5}{r}=\frac{23}{22}-1=\frac{1}{22}$
=> r=110 m
Therefore, diameter of inner circle =2×110=220m