Respuesta :

Given:

The area of the circle is,

[tex]A=14\pi in^2[/tex]

To find:

The diameter of the circle.

Explanation:

The formula of the area of the circle is,

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

On substitution we get,

[tex]\begin{gathered} 4\pi=\pi r^2 \\ r^2=4 \\ r=2 \end{gathered}[/tex]

Then the diameter is,

[tex]\begin{gathered} d=2r \\ d=2(2) \\ d=4in \end{gathered}[/tex]

Final answer:

The diameter of the circle is 4 inches.

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