There are three circular tabletops with diameters of \( 5 \mathrm{ft}, 7 \mathrm{ft} \), and 9 ft . Identify the area of each table top rounded to the nearest tenth. \( A_{1} \approx 78.5 \mathrm{ft}^{2} ; A_{2} \approx 153.9 \mathrm{ft}^{2} ; A_{3}=254.5 \mathrm{ft}^{2} \) \( A_{1} \approx 15.7 \mathrm{ft}^{2} ; A_{2} \approx 22 \mathrm{ft}^{2} ; A_{3}=28.3 \mathrm{ft}^{2} \) \( A_{1} \approx 19.6 \mathrm{ft}^{2} ; A_{2} \approx 38.5 \mathrm{ft}^{2} ; A_{3}=63.6 \mathrm{ft}^{2} \) \( A_{1} \approx 31.4 \mathrm{ft}^{2} ; A_{2} \approx 44 \mathrm{ft}^{2} ; A_{3}=56.5 \mathrm{ft}^{2} \)

To find the area of a circular tabletop, we use the formula \( A = \pi r^2 \), where \( r \) is the radius. For the tables with diameters of 5 ft, 7 ft, and 9 ft, the respective radii would be \( 2.5 \mathrm{ft}, 3.5 \mathrm{ft}, \text{ and } 4.5 \mathrm{ft} \). Plugging these into the formula gives areas of approximately \( 19.6 \mathrm{ft}^2, 38.5 \mathrm{ft}^2, \text{ and } 63.6 \mathrm{ft}^2 \). In practical terms, knowing the area of tabletops can greatly assist in planning arrangements for events! Whether you're hosting a dinner party or setting up for a presentation, understanding each table's capacity ensures that you'll have enough space for plates, cups, or whatever else you need. So, roll up those tablecloths and let’s get the setups looking fabulous!