To find the area of a circular table top, we use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi \times \text{radius}^2 \][/tex]
Given:
- The radius of the table top is 24 inches,
- The value of [tex]\(\pi\)[/tex] is 3.14.
Now, substitute the given values into the formula:
[tex]\[ \text{Area} = 3.14 \times (24)^2 \][/tex]
First, compute [tex]\( 24^2 \)[/tex]:
[tex]\[ 24^2 = 24 \times 24 = 576 \][/tex]
Then, multiply this result by 3.14:
[tex]\[ \text{Area} = 3.14 \times 576 = 1808.64 \][/tex]
To the nearest square inch, this value rounds to:
[tex]\[ \text{Area} \approx 1809 \, \text{square inches} \][/tex]
Therefore, the area of the table top is:
[tex]\[ \boxed{1809 \, \text{in}^2} \][/tex]
