Answer:
[tex]4.5\pi\approx 14.14[/tex] square feet.
Step-by-step explanation:
We have been a table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet .
When we will cut the round table into half, it will result in a semicircle.
The area of half the table will be equal to area of semicircle. We know that area of semicircle is half the area of circle.
[tex]\text{Area of semicircle}=\frac{\pi r^2}{2}[/tex]
[tex]A=\frac{\pi(3)^2}{2}[/tex]
[tex]A=\frac{9\pi}{2}[/tex]
[tex]A=4.5\pi[/tex]
[tex]A\approx 14.14[/tex]
Therefore, the area of the table would be [tex]4.5\pi\approx 14.14[/tex] square feet.
