Answer:
A = 28.274ft^2
Step-by-step explanation:
Since we have the radius, we can find the area of the circle if it was a full circle.
[tex]A = \pi r^{2}[/tex]
Plug in the radius of 6 feet:
[tex]A = \pi 6^{2}[/tex] = [tex]113.09734[/tex]
With the area of the full circle, we can divide the area by 4 to get the area of a quarter of that circle.
[tex]113.09734 / 4 = 28.274335[/tex] or about [tex]28.274ft^{2}[/tex]
