Step 1. Find the area of the circle.
The formula for the area of a circle is as follows:
[tex]A=\pi r^2[/tex]Where pi is 3.14 and r is the radius of the circle.
The radius is half of the diameter, and since the diameter is 10 in, thus the radius is:
[tex]\begin{gathered} r=\frac{10in}{2} \\ r=5in \end{gathered}[/tex]Substituting the radius and pi into the area formula:
[tex]A=(3.14)(5in)^2[/tex]Solving the operations:
[tex]\begin{gathered} A=(3.14)(25in^2) \\ A=78.5in^2 \end{gathered}[/tex]Step 2. Multiply the area by the cost per square inch.
The cost per square inch is $4.50, so we multiply 78.5 by 4.50:
[tex]4.50\times78.5=353.25[/tex]The total cost is $353.25
Rounding the answer to the nearest dollar: $353
