If a circular table is 6 feet across the middle, approximately how much fabric would be needed to cover the top of the table? Round to the nearest square foot.

Answer 1

To find out how much fabric is needed to cover the top of a circular table, we can calculate the area of the circle. The formula for the area $A$ of a circle is given by:

$$A=\pi r^2$$

where $r$ is the radius of the circle.

Since the table is 6 feet across, the diameter is 6 feet. To find the radius, we divide the diameter by 2:

$$r=\frac{6\text{ feet}}{2}=3\text{ feet}$$

Now, we can calculate the area:

$$A=\pi (3\text{ feet}{)}^2=\pi \times 9\text{ square feet}$$

Using an approximate value of $\pi \approx 3.14$, we can compute the area:

$$A\approx 3.14\times 9=28.26\text{ square feet}$$

Rounding this to the nearest square foot, we find:

$$A\approx 28\text{ square feet}$$

Therefore, approximately 28 square feet of fabric would be needed to cover the top of the table.