Answer: 28 square feet.
Step-by-step explanation:
Circumference of a circle with radius r is given by :-
[tex]C=2\pi r[/tex]
Given: The circumference of the tabletop = 6π feet.
Therefore, the circumference of circle is given by :-
[tex]6\pi=2\pi r \.\\\\Rightarrow\ r=3\ ft[/tex]
Area of circle: [tex]A=\pi r^2[/tex], where r is radius of circle.
Now, Area of circle: [tex]A=\pi (3)^2=9\pi=28.2743338823\approx28\ ft^2[/tex]
