Question

A circular pond is to be surrounded by a gravel path. if we know the pond has a radius of 200 ft and the radius of the whole space is 250 ft? it needs to be in squarefeet!

  A. 

70,686 ft2    
B.  57,234 ft2    
C.  86,270 ft2    
D.  65,523 ft 2

Answer 1

To find the area to be surrounded by a gravel path, we need to calculate two areas. First, the area of the whole space and, second, the area of the pond. We subtract these values to obtain the actual area for the gravel path.

A(whole space) = pi x (250)^2 = 62500π ft^2
A(pond) = pi x 200^2 = 40000π ft^2

Actual Area = 62500π ft^2 - 40000π ft^2 = 70686 ft^2 ----> OPTION A