A circular pond is of diameter 17.5m. It is surrounded by a 2m wide path. Find the cost of constructing the path at the rate of ` 25 per square meter
Given,
Diameter of circular pond = 17.5m
Radius of circular pond = = 8.75m
Radius of outer circle = (radius of inner circle + width of circular path)
= 8.75+2 = 10.25m
Area of circular path = (area of outer circle – area of inner circle)
= π(R2 – r2)
= π(R+r)(R-r)
= (10.75+8.75)(10.75-8.75)
= × 19.50 × 2 = 3061.50 m2