MCQ
A circular park has a path of uniform width around it. The difference betweenthe outer and inner circumferences of the circular path is 132m. Its width is:
  • A
    20m
  • 21m
  • C
    22m
  • D
    24m

Answer

Correct option: B.
21m
Let R and r the radil of the outer and inner circles of the park, then $2\pi\text{R}-2\pi\text{r}=132$$\Rightarrow2\pi(\text{R - r})=132\Rightarrow\frac{2\times22}{7}(\text{R - r})=132$
$\Rightarrow\text{R - r}=\frac{132\times7}{2\times22}=21$
$\therefore$ Width of parth = 21m (b)

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