Question
A circular pond is surrounded by a path 2 meters wide.
The diameter of the pond is 28 meters. Find the cost of constructing the path at ₹140 per square meter.Solution
Radius of the pond = 28 / 2 = 14 meters. Outer radius (including path) = 14 + 2 = 16 meters. Area of the path = Area of outer circle - Area of the pond. Area of outer circle = π(16²) = (22/7) × 256 Area of the pond = π(14²) = (22/7) × 196 Area of the path = (22/7) × (256 – 196) m². = 60*22/7 Cost = 60*22/7 × 140 = ₹26,400 Correct answer: b) ₹26,400.
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