9514 1404 393
Answer:
3929 square feet
Explanation:
The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...
A = πr^2
The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...
∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet