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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? ​

Respuesta :

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)

crystal3603813

Answer:

62.83 [tex]ft^{2}[/tex]

Step-by-step explanation:

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

A = [tex]\pi[/tex][tex]r^{2}[/tex]

Radius is half of the diameter:

A[tex]_{1}[/tex] = (3.1415926535...)( [tex]4^{2}[/tex] )         A[tex]_{2}[/tex] = (3.14159265...)( [tex]6^{2}[/tex] )

A[tex]_{1}[/tex] ≈ 50.265...                             A[tex]_{2}[/tex] ≈ 113.097...

How much greater:

A[tex]_{2}[/tex] - A[tex]_{1}[/tex] ≈ 62.83185