Question 7 You need to buy two circular tables for your house. The small table has a diameter of 5 feet and the large table has a radius of 4 feet. How much greater, in square feet, is the area of the large table than the small table? - Use 3.14 to approximate \( \pi \) in your calculations. - Round approximated answers to the nearest hundredth place (two decimals)

To find the area of the small table, we use the formula for the area of a circle: \( A = \pi r^2 \). The radius of the small table is half of its diameter, which is \( 5/2 = 2.5 \) feet. So, the area of the small table is \( A_s = 3.14 \times (2.5)^2 = 3.14 \times 6.25 = 19.625 \) square feet. For the large table, the radius is already given as 4 feet, so we use the same formula: \( A_l = 3.14 \times (4)^2 = 3.14 \times 16 = 50.24 \) square feet. To find how much greater the area of the large table is than the small table, we subtract the area of the small table from the area of the large table: \( 50.24 - 19.625 = 30.615 \). Rounding to the nearest hundredth, the area difference is approximately **30.62 square feet**.