View this design as one smaller circle inside a bigger circle. The smaller circle is the circular fountain and the larger circle is that plus the walk around it. The area of the walk would be the difference between the area of the larger circle and the smaller circle.

Area of the fountain:

diameter = 10

radius = 10/2=5

Area = pi.r

Area = 3.14 x (5)

Area = 78.5 feet

Area of fountain + walk:

diameter = 10 + 3 = 13

radius = 13/2 = 6.5

Area = pi.r

Area = 3.14 x (6.5)

Area = 132.6 feet

Area of the circular walk = Area of larger circle - area of smaller circle

= 132.6 - 78.5

= 54.1 feet

Therefore, the area of the walk around the fountain is 54.1 square feet.

Area of the fountain:

diameter = 10

radius = 10/2=5

Area = pi.r

^{2}Area = 3.14 x (5)

^{2}Area = 78.5 feet

^{2}Area of fountain + walk:

diameter = 10 + 3 = 13

radius = 13/2 = 6.5

Area = pi.r

^{2}Area = 3.14 x (6.5)

^{2}Area = 132.6 feet

^{2}Area of the circular walk = Area of larger circle - area of smaller circle

= 132.6 - 78.5

= 54.1 feet

^{2}Therefore, the area of the walk around the fountain is 54.1 square feet.