A) 110 m
B) 55 m
C) 220 m
D) 230 m
Correct Answer: C
Solution :
Let the shaded portion be the circular path. |
Let the inner radius be r metres. |
\[\therefore \] Outer radius R = (r + 5) m |
\[\frac{2\pi R}{2\pi r}=\frac{23}{22}\Rightarrow \frac{R}{r}=\frac{23}{22}\] |
\[\Rightarrow \] \[\frac{r+5}{r}=\frac{23}{22}\Rightarrow 23r=22r+110\] |
\[\Rightarrow \] \[r=110\,\,\text{m}\] |
\[\therefore \] Daimeter \[=2\times 110=220\,\,\text{m}\] |
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