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? ​

Answer 1

Answer:

20π sq ft ≈ 62.83 sq ft

Step-by-step explanation:

Area of table with diameter 8 ft = π*8^2/4 = 16π

Area of table with diameter 12 ft = π*12^2/4 = 36π

Difference between the area of the tables ;

= 36π - 16π

= 20π sq ft ≈ 62.83 sq ft                              ( π = 3.14)

Answer 2

Answer:

62.83 $ft^{2}$

Step-by-step explanation:

First, you have to find the area of both using the area formula for a circle:

A = $\pi$$r^{2}$

Radius is half of the diameter:

A$_{1}$ = (3.1415926535...)( $4^{2}$ )         A$_{2}$ = (3.14159265...)( $6^{2}$ )

A$_{1}$ ≈ 50.265...                             A$_{2}$ ≈ 113.097...

How much greater:

A$_{2}$ - A$_{1}$ ≈ 62.83185