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.

about 31 ft2
about 63 ft2
about 6 ft2
about 13 ft2

Respuesta :

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Answer:

Area of larger table is about 63 ft² greater.

Step-by-step explanation:

Given: One circular table has a diameter of 8 ft, and another circular table has a diameter of 12 ft.

To find : How much greater is the area of the larger table.

Solution : We have given

Diameter of a table  = 8 ft.

Diameter of another table = 12 ft.

Radius = [tex]\frac{Diameter}{2}[/tex].

Radius =  [tex]\frac{8}{2}[/tex].

Radius of smaller table = 4 ft.

Radius of larger table= 6 ft.

Area of smaller table = [tex]\pi *( radius)^{2}[/tex]

Area of smaller table =  [tex]3.14 *( 4)^{2}[/tex].

Area of smaller table =  [tex] 3.14* 16[/tex] = 50.24 ft².

Area of larger table =  [tex]\pi *( 6)^{2}[/tex].

Area of larger table =  [tex]3.14* 36[/tex] = 113.04 ft².

Area of larger table  -  area of smaller table

= 113.04 - 50.24 .

= 62.8 ft².

= about 63 ft².

Therefore, Area of larger table is about 63 ft² greater.