Given:
Area of the circle
[tex]A=14\pi\text{ in.}^2[/tex]
Required:
To find the diameter of the circle.
Explanation:
The area of the circle is given by the formula:
[tex]A=\pi r^2[/tex]
Where r = radius of the circle
Put the given value of A.
[tex]\begin{gathered} 14\pi=\pi r^2 \\ r^2=14 \end{gathered}[/tex]
Take the square root on both sides.
[tex]\begin{gathered} r=\sqrt{14} \\ r=3.741\text{ in.} \end{gathered}[/tex]
Now the diameter D= 2r
[tex]\begin{gathered} D=2\text{ }\times3.741 \\ D=7.482\text{ in.} \end{gathered}[/tex]
Final answer:
The diameter of the circle D= 7.482 in,
