The area of Elena's circular table top, with a diameter of 28 inches, is approximately 615.44 square inches.
The area A of a circle can be calculated using the formula:
![\[ A = (\pi)/(4) * D^2 \]](https://img.qammunity.org/2021/formulas/mathematics/high-school/dc24fzdpigqk277ucvte9q8i5cryfsmoy2.png)
where D is the diameter of the circle.
Given that the diameter D of the circular table top is 28 inches, we can substitute this value into the formula:
![\[ A = (\pi)/(4) * (28)^2 \]\[ A = (\pi)/(4) * 784 \]\[ A = 196\pi \]](https://img.qammunity.org/2021/formulas/mathematics/high-school/qj8nu58d9fd8durq87kdhvn2xdl827fweh.png)
So, the area of the circular table top is
square inches. If you prefer a numerical approximation, you can use 3.14 as an approximation for π:
![\[ A \approx 196 * 3.14 \] A \approx 615.44 \]](https://img.qammunity.org/2021/formulas/mathematics/high-school/jsf7q85523wl9vt4ukjryqhg0vemtm03a8.png)
Therefore, the approximate area of the circular table top is 615.44 square inches.