To calculate the area of a circular table top with a radius of 24 inches, we use the formula for the area of a circle, which is:
[tex]\[ \text{Area} = \pi r^2 \][/tex]
Given:
- Radius ([tex]\( r \)[/tex]) of the table top = 24 inches
- Use [tex]\( \pi \)[/tex] = 3.14
Now, substitute the values into the formula:
[tex]\[ \text{Area} = 3.14 \times (24)^2 \][/tex]
First, calculate [tex]\( (24)^2 \)[/tex]:
[tex]\[ 24^2 = 576 \][/tex]
Now, multiply 576 by 3.14:
[tex]\[ \text{Area} = 3.14 \times 576 = 1808.64 \][/tex]
To the nearest square inch, the area of the table top is:
[tex]\[ \text{Area} \approx 1809 \text{ square inches} \][/tex]
Therefore, the correct answer is:
[tex]\[ 1809 \text{ in. }^2 \][/tex]
