A) \[55\,m\]
B) \[110\,m\]
C) \[220\text{ }m\]
D) \[~230\text{ }m\]
Correct Answer: C
Solution :
Let radius of inner and outer circle be \[{{r}_{1}}\] and \[{{r}_{2}}\]respectively. \[\therefore \] \[{{r}_{2}}=({{r}_{1}}+5)\] .....(i) According to question \[\frac{2\pi {{r}_{2}}}{2\pi {{r}_{1}}}=\frac{23}{22}\,\Rightarrow \,\frac{{{r}_{1}}+5}{{{r}_{1}}}=\frac{23}{22}\] \[\Rightarrow \] \[{{r}_{1}}=110\,n.\] Diameter of inner circle \[=2\times {{r}_{1}}=2\times 110=220m\]You need to login to perform this action.
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