A uniform circular path of width 2.5m is laid outside a circular park of radius 56m .Find the cost of levelling the path at the rate of Rs.5 per sq .(take 3.14)
Answers
Answer: Rs.4494.125
Step by step explanation:
Given,
Radius of inner circle = 56 m
Width of the circular path = 2.5 m
Cost of leveling 1 square meter = Rs. 5
To find: We have to find cost of leveling of Circular park.
Area of circle = πr²
Area of Inner circle = 3.14×56²
= 9847.04m²
Radius of the outer circle = inner radius +width = 56+2.5 =58.5 m
Area of outer circle = 3.14×58.5^2
= 10745.865 m^2
Area of path = Area of outer circle - Area of inner circle
=> 10745.865 - 9847.04m²
=> 898.825 m²
Given that, Cost of leveling 1 sqm = Rs. 5
Cost of leveling 898.825 square meter = 898.825 *5
= Rs.4494.125
Therefore, cost of leveling the path is Rs.4494.125