Respuesta :

Answer: [tex] (8)^2\pi\ feet^2[/tex]

or

[tex]64\pi \ feet ^2[/tex]

Step-by-step explanation:

We are given that the diameter of a circle = 16 feet

Then the radius of the circle = [tex]r=\dfrac{d}{2}=\dfrac{16}{2}=\ 8 feet[/tex]

Also, the area of a circle is given by :_

[tex]A=\pi r^2[/tex] , where r is radius of the circle .

For r = 8 feet

The area of the circle = [tex]\pi (8)^2=\pi (64)=64\pi \ feet ^2[/tex]

Hence, the expression that gives its area in square feet =

[tex] (8)^2\pi \ feet^2[/tex]

or

[tex]64\pi \ feet ^2[/tex]

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