What is the difference between the areas of a circular table with diameter 6 ft and a circular table with diameter 8 ft Round your answer to the nearest square foot.?

Answer 1

To find the areas of the circular tables, we use the formula for the area of a circle, ( A = \pi r^2 ). The radius of the first table (diameter 6 ft) is 3 ft, giving an area of ( \pi (3^2) = 9\pi ) square feet. The radius of the second table (diameter 8 ft) is 4 ft, giving an area of ( \pi (4^2) = 16\pi ) square feet. The difference in areas is ( 16\pi - 9\pi = 7\pi ), which is approximately 22 square feet when rounded to the nearest square foot.