A circular park of radius 20 metre has a road 5 metre wide running around it Find the cost of metall...........

Quantitative Aptitude ( CCS) Mensuration 2D

A circular park of radius 20 metre has a road 5 metre wide running around it. Find the cost of metalling the road that Rs.14 per square metre.

Rs. 8900

Rs. 9900

Rs.10900

Rs. 12000

Area of road = area of park with road - area of park without road = πR²-πr² = (22/7)(25)²-(22/7)(20)²

= 22×625/7-22×400/7 = 13750/7-8800/7 = 4950/7 m²
now,
cost of metalling 1 m² = 14 rs.
cost of metalling 4950/7 m² = (4950/7)×14 = 4950×2 = 9900 rs.

Hence, option 2 is the correct answer.

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