The area of a circle is given by the following expression:
[tex]A=\pi r^2[/tex]Where A is the area and r is the radius of the circle.
According to the picture, the diameter of the circle is given. We can find the radius by dividing the diameter by 2, this way:
[tex]r=\frac{D}{2}=\frac{12}{2}=6[/tex]The radius of the circle is 6 in.
Use this value and the expression given to find the area of the circle, this way:
[tex]\begin{gathered} A=\pi(6)^2 \\ A=36\pi \\ A=113.09 \end{gathered}[/tex]Replacing r by 6 we obtain that the area of the circle is 113.09 in^2.
