A circular garden of radius 80 m has a pathway around and outside it of width 3 m find the cost of levelling the path at rupees 7.50 sq.m
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Step-by-step explanation:
area of circular garden = πr^2
radius = 80m
area of circular garden = π(80)^2 = 6400π m^2
area of circular garden with pathway = π(R)^2
radius of circular garden with pathway = 80+3 = 83m
area of circular garden with pathway = π(83)^2 = 6889π m^2
Area of pathway = area of circular garden with pathway - area of circular garden
Area of pathway = 6889π - 6400π = 489π m^2 = 489 × 22/7 (π = 22/7)
= 1536.85 m^2
cost for per sq. m = ₹ 7.50
cost of levelling the path = 1536.85 × 7.50 =
₹ 11,526.375
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