Question

The inner circumference of a circle track is 44.The track is 17.5m wide everywhere. Find the cost of fencing outer circle at the rate of rupees 4 perimeter
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Answer 1

Answer:

Rs. 616 is the cost of fencing the outer circle.

Step-by-step explanation:

Inner circumference = 44m

Therefore,

$circumference = 2\pi r \\ 44m = 2 \times \frac{22}{7} \times r \\ \frac{44 \times 7}{2 \times 22 } = r \\ r = 7$

Hence, radius of the inner circle is equal to 7m

Given that, distance distance between the inner circle and outer circle is 17.5m

Therefore, radius of the outer circle=(7 + 17.5)m = 24.5m

$circumference = 2\pi r \\ = 2 \times \frac{22}{7} \times 24.5 \\ = 154m$

cost of fencing 1m = Rs. 4

cost of fencing 154m = Rs. (154 × 4) = Rs. 616

hence cost of fencing the outer circle is Rs. 616