The inner circumference of a circular track is $132 m$ . The track is $2.5 m$ wide everywhere. Calculating the cost of putting up a fence along the outer circle at the rate of ₹ 3.50 per metre.

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₹

400

₹

490

₹

517

₹

510

answer is A.

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Detailed Solution

Given that, the inner circumference of a circular track is 132 m, the track is 2.5 m wide everywhere and the rate of cost of putting up fence along the outer circle is ₹ 3.50 per meter.
Calculating the inner circumference of the circular track, we get

2 π r = 132

\Rightarrow

r = 132 × 722 × 12

\Rightarrow

r = 21 m
Calculating the outer circle radius,
21 + 2.5 = 23.5 m.
Calculating the circumference of the outer circle,

2 π r = 2 × 227 × 23.5

\Rightarrow

147.71 m
Calculating the cost of a fence along the outer circle at the rate of ₹ 3.50 per metre, we get,

147.71 × 3.50 = 517

The cost of putting up a fence along the outer circle at the rate of ₹ 3.50 per metre is ₹ 517.
Hence the correct option is 1.

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