MCQ
A circular park has a path of uniform width around it. The difference between the outer and inner circumferences of the circular path is $132 m$. The width of path is
- A$20 m$
- ✓$21 m$
- C$22 m$
- D$24 m$
✓
Answer
Correct option: B.
$21 m$
Let $R_1 m$ and $R_2 m$ be the radii of the outer and inner circular path.
$\therefore 2 \pi R_1-2 \pi R_2=132 $
$\Rightarrow R_1-R_2=\frac{132}{2 \pi}$
$\Rightarrow R_1-R_2=\frac{132 \times 7}{2 \times 22}=21$
Hence, the width of the path is $21 m$.
$\therefore 2 \pi R_1-2 \pi R_2=132 $
$\Rightarrow R_1-R_2=\frac{132}{2 \pi}$
$\Rightarrow R_1-R_2=\frac{132 \times 7}{2 \times 22}=21$
Hence, the width of the path is $21 m$.
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