To find the area of the table after it is cut in half, we need to determine the shape of the table and calculate the area of the remaining half.
Since the table has a round top, we can assume that it is a circular table. When it is cut in half along the diameter, we have a semicircle.
To find the area of a semicircle, we use the formula:
A = (π * r^2) / 2
Where A is the area and r is the radius of the semicircle.
In this case, we know that the edge along the wall is 6 ft, which represents the diameter of the original table.
The radius of the semicircle is half of the diameter, so the radius of the original table is 6 ft / 2 = 3 ft.
Now we can substitute the radius into the formula for the area of a semicircle:
A = (π * 3^2) / 2
A = (π * 9) / 2
Using an approximate value of π ≈ 3.14, we can calculate:
A ≈ (3.14 * 9) / 2
A ≈ 28.26 / 2
A ≈ 14.13 ft^2
Therefore, the area of the table after it is cut in half is approximately 14.13 square feet.