A 7m wide path is to be construed all around and outside a circular garden of diameter 112m. Find the cost of constructing the path at ?50 per sq m
Dear Student, Here is the solution for your query. SOLUTION) The diameter of garden = 112m So, the Radius of garden (r) = 112m/2 = 56m Now, The Radius of Outer circle made by path constructed (R) = 56m + 7m = 63m The Area of garden = pi * r * r = 22/7 * 56m * 56m = 9856 sqr. m The Area of garden including path = pi * R * R = 22/7 * 63m * 63m = 12474 sqr. m Now, The Area of Path Constructed = Area of garden including path - Area of garden = 12474 sqr. m - 9856 sqr. m = 2618 sqr m Now, Rate of construction of 1 sqr m path = 50 Rs Cost of Construction of 2618 sqr m = 50Rs. * 2618 sqr m = 130,900rs. REGARDS!