Answer:
9π square feet . . . . total table area
Step-by-step explanation:
The area of a circle is given by ...
A = πr^2
where r is the radius of the circle. The edge against the wall is the diameter of the circular table, so its radius is 3 feet. Hence the total area of the circular table is ...
A = π(3 ft)^2 = 9π ft^2 . . . . . area of circular table
Of course, the area of each half is half that. We assume the cut is made so that no substantial area is lost when the table is cut in half, so the area of the table before the cut is the same as the area after the cut.
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Comment on the question
Your answer will depend on how you interpret the question. I interpreted the question to be asking about the area of the entire circular table, not just the one half that is put against the wall.
