A circular park has a path of uniform width around it. The differ… - Vidyadip

MCQ

A circular park has a path of uniform width around it. The difference betweenthe outer and inner circumferences of the circular path is $132\ m$. 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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