Final answer:
To calculate the area of the part of the tablecloth that hangs over the side of the table, subtract the area of the table (4.91 m²) from the area of the tablecloth (9.62 m²), resulting in approximately 4.7 m².
Step-by-step explanation:
To find the area of the part of the tablecloth that hangs down the side of the table, we'll consider the areas of the two circles separately and then subtract the smaller area from the larger area. First, we calculate the area of the tablecloth with a diameter of 3.5 meters. Using the formula for the area of a circle, A = πr², where A is the area, and r is the radius.
The radius of the tablecloth is half of the diameter, so r = 3.5 m / 2 = 1.75 m. Therefore, the area of the tablecloth is A = π * (1.75 m)² ≈ 9.62 m² (using π ≈ 3.14).
Next, calculate the area of the table which has a diameter of 2.5 meters. The radius of the table is 2.5 m / 2 = 1.25 m, and the area of the table is A = π * (1.25 m)² ≈ 4.91 m².
Subtract the area of the table from the area of the tablecloth to get the area that hangs over the side: 9.62 m² (tablecloth) - 4.91 m² (table) = 4.71 m². Since we're asked to round to the nearest tenth, the area that hangs over is approximately 4.7 m².