Question

One circular table has a diameter of 9 ft, and another circular table has a diameter of 20 ft. How much greater is the area of the larger table? Round to the nearest whole number. about 336 ft2 about 1,002 ft2 about 251 ft2 about 146 ft2

Answer 1

Smaller circle:
diameter = 9 ft
radius = diameter/2 = (9 ft)/2 = 4.5 ft
A = pi(r^2) = 3.14159 * (4.5 ft)^2 = 63.62 ft^2

Larger circle:
diameter = 20 ft
radius = diameter/2 = (20 ft)/2 = 10 ft
A = pi(r^2) = 3.14159 * (10 ft)^2 = 314.159 ft^2

Difference = larger are - smaller area

Difference = 314.16 ft^2 - 63.62 ft^2 = 250.54 ft^2

Answer: About 251 ft^2