A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m².
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Question

A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m2.

KnowledgeBoat · Accepted Answer

Let the radius of circular plot = R meters. Given, Circumference of circular plot = 44 m 2πR = 44 From figure, Radius of outer circle = R + 3.5 = 7 + 3.5 = 10.5 m. Area of road = Area of outer circle - Area of inner circle = π(10.5)2 - π(7)2 = 110.25π - 49π = 61.25π = x 61.25 = 192.50 m2 Rate of paving the road = ₹ 200 per m2 Cost of paving road = Area of road × Rate of paving the road = 192.5 × 200 = ₹ 38,500. Hence, cost of paving the road = ₹ 38,500.

Mathematics

A road 3.5 m wide surrounds a circular plot whose circumference is 44 m. Find the cost of paving the road at ₹ 200 per m².

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