To determine the area of a circular table top with a radius of 24 inches, we need to use the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
Where:
- \( A \) is the area of the circle
- \( \pi \) is a constant approximately equal to 3.14
- \( r \) is the radius of the circle
Given that the radius (\( r \)) is 24 inches, we can substitute this value into the formula:
[tex]\[ A = 3.14 \times (24^2) \][/tex]
First, calculate the square of the radius:
[tex]\[ 24^2 = 576 \][/tex]
Next, multiply this by \( \pi \):
[tex]\[ A = 3.14 \times 576 \][/tex]
After performing the multiplication, we get:
[tex]\[ A = 1808.64 \, \text{square inches} \][/tex]
Rounding this to the nearest square inch, we get:
[tex]\[ A \approx 1809 \, \text{square inches} \][/tex]
Therefore, the area of the table top is approximately 1809 square inches. Hence, the correct answer is:
[tex]\[ \boxed{1809 \, \text{in}^2} \][/tex]
