A semicircular window has a diameter of 24 inches. Lou wants to insert a laminated sun-block coating that costs $1.50 per square inch to apply. How much will Lou spend to coat the window with sun-block?

Respuesta :

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.