Question : The external fencing of a circular path around a circular plot of land is 33 m more than its interior fencing. The width of the path around the plot is:
Option 1: 5.52 m
Option 2: 5.25 m
Option 3: 2.55 m
Option 4: 2.25 m
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Correct Answer: 5.25 m
Solution :
Let the internal radius of the circular plot be $r$ m and the width of the path be $x$ m.
According to the question,
$2\pi (r+x)-2\pi r = 33$
⇒ $2\pi x = 33$
⇒ $x=33×\frac{7}{22}×\frac{1}{2}$
⇒ $x=\frac{21}{4}$
⇒ $x=$ 5.25 m
Therefore, the width of the path is 5.25 m.
Hence, the correct answer is 5.25 m.
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