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Question

A circular pond is 17.5 m in diameter. It is surrounded by a 2m wide path, Find the cost of constructing the path at the rate of ₹ 25 per m2 .

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Solution

Diameter of the pond = 17.5 m
Radius of the pond = 8.75 m
Radius of the pond with the path = 8.75 + 2 = 10.75 m
Area of the path = Area of the pond along with the path − area of the pond
Area of the path=πR2-r2=π10.752-8.752=π219.5=122.46 m2
Cost of constructing the path = 25×122.46=Rs 3061.5

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