There is a fountain in the centre of a circular park. The distance of the
fountain from the boundary of the park is 70 m. What will be the total cost
of fencing the park if the rate of fencing is ₹50 per metre? (Take = 3.142)
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Given:
Distance of the fountain from the boundary of the park = 70 m.
Rate of fencing = ₹50 per m
To find:
The total cost of fencing the park
Solution:
The circumference of park = 2πr
where r is the distance of the fountain from the boundary of the park
Thus, substituting the value -
Circumference = 2 × 3.142 × 70
= 140 × 3.142
= 439.8
The circumference is 439.8 m
Thus, total cost = circumference of park × fencing price
= 439.8 × 50
= 21990
Answer: The total cost of fencing the park is Rs. 21,990
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