Question

One circular table has a diameter of 8 ft, and another circular table has a diameter of 12 ft. How much greater is the area of the larger table? Round to the nearest whole number.

Answer 1

Area of a circle is calculated as $\pi$r^2. If the diameter of the first table is 8, then the radius is 4, so $\pi$(4)^2 = $\pi$(16) = 50.27 ft.

Likewise, for table 2, the radius is 6, so $\pi$(6)^2 = $\pi$(36) = 113.1 ft. 

Now find the difference, and you get 62.83 ft

Answer 2

S=πd²/4
S₁=π*8²/4≈50 (ft²)
S₂=π*12²/4≈113 (ft²)
113-50=63 (ft²)
answer: 63 ft²