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.
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