the diagram shows a circular pond of radius r metres surrounded by a circular path. The circular path has a width of 1.5m. Calculate the area of the pond.

Question

The circular path has a constant width of 1.5m. The area of the circular path is 1/10 the area of the pond.

Answer 1

r - radius of pond

Area of pond= πr²

The whole area with the path= π(r+1.5)²

Area of the path =π(r+1.5)²-πr²

πr²=10[π(r+1.5)²-πr²]

r²=10(3r+9/4 ),

Find r, then the area of pond.