Explanation:
We have,
Diameter of a semicircular window is 24 inches. Radius of window is 12 inches.
Lou wants to insert a laminated sun-block coating that costs $1.50 per square inch to apply.
It means we need to find the area of semicircular window. IT is given by :
![A=(\pi)/(2) r^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/3i6rwrsbld0fe505jut8c8hhbwwgxpa3cv.png)
![A=(3.14* 12^2)/(2)\\\\A=226.08\ inches^2](https://img.qammunity.org/2021/formulas/mathematics/high-school/4cnw8wnko9gzuw2mploupt5p1mnfctc45b.png)
Cost per square inch is $1.50. So, Lou spend to coat the window with sun-block is
![A=226.08* 1.5=\$339.12](https://img.qammunity.org/2021/formulas/mathematics/high-school/fnpoi1m6x12ge0oc9grp3o9kj0vdyx2fwx.png)
So, Lou spend to coat the window with sun-block is $339.12.