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

62.83
`ft^(2)`

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

Answer 2

20π sq ft ≈ 62.83 sq ft

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)