To find the area of a circular table top with a radius of 24 inches, we can use the formula for the area of a circle:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
where [tex]\(\pi\)[/tex] is approximately 3.14, and [tex]\(r\)[/tex] is the radius of the circle.
1. Formula Setup:
The given radius [tex]\(r\)[/tex] is 24 inches and [tex]\(\pi\)[/tex] is 3.14. Therefore, the formula to calculate the area becomes:
[tex]\[ \text{Area} = 3.14 \times 24^2 \][/tex]
2. Calculate [tex]\(r^2\)[/tex]:
First, square the radius:
[tex]\[ 24^2 = 576 \][/tex]
3. Multiply by [tex]\(\pi\)[/tex]:
Next, multiply the squared radius by [tex]\(\pi\)[/tex]:
[tex]\[ \text{Area} = 3.14 \times 576 \][/tex]
4. Resulting Calculation:
[tex]\[ \text{Area} = 1808.64 \][/tex]
5. Rounding to the Nearest Square Inch:
To round 1808.64 to the nearest square inch, we look at the digit in the tenths place, which is 6. Since it is 5 or greater, we round up:
[tex]\[ \text{Area} \approx 1809 \text{ square inches} \][/tex]
Thus, the area of the table top, to the nearest square inch, is:
[tex]\[ \boxed{1809 \text{ in}^2} \][/tex]
