Step-by-step 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 :
[tex]A=\dfrac{\pi}{2} r^2[/tex]
[tex]A=\dfrac{3.14\times 12^2}{2}\\\\A=226.08\ inches^2[/tex]
Cost per square inch is $1.50. So, Lou spend to coat the window with sun-block is
[tex]A=226.08\times 1.5=\$339.12[/tex]
So, Lou spend to coat the window with sun-block is $339.12.