



 
Hi Bailey, The area of a circle is $\pi$ times the square of the radius. Suppose the radius of the pond is $r$ metres. Write an expression for the area of the pond. The region containing the pond and the path is a circle of radius $r + 1$ metres and hence the area of the path is the area of a circle of radius $r + 1$ metres minus the area of a circle of radius $r$ metres. Write an expression for the area of the path. Use the two expressions you have just found to write the equation "The area of the path is 1/4 of the area of the pond." Solve for $r.$ Penny  


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