Question

An artist is making a circular stained glass window with adiameter of 10 in. The stained glass costs $4.50 per squareinch, To the nearest dollar, What will the total cost of the stained glass for the artist's entire window? Use 3.14 for pi.

Answer 1

Step 1. Find the area of the circle.

The formula for the area of a circle is as follows:

`A=\pi r^2`

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:

`\begin{gathered} r=(10in)/(2) \\ r=5in \end{gathered}`

Substituting the radius and pi into the area formula:

`A=(3.14)(5in)^2`

Solving the operations:

`\begin{gathered} A=(3.14)(25in^2) \\ A=78.5in^2 \end{gathered}`

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:

`4.50*78.5=353.25`

The total cost is $353.25

Rounding the answer to the nearest dollar: $353