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Welcome to the article A stained glass window is going to be installed in a semi circular opening above a 30 inch wide door If the stained glass window. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!

A stained glass window is going to be installed in a semi-circular opening above a 30-inch wide door. If the stained glass window costs $1.40 per square inch, how much will the window cost? Use 3.14 for [tex]\pi[/tex] as necessary.

Answer :

Answer: $494.55

Step-by-step explanation:

Given : A stained glass window is going to be installed in a semi-circular opening, which is above a 30 inch wide door.

Then the diameter of the semi-circular glass = 30 inches

Also, the radius of the glass = [tex]\dfrac{30}{2}=15\text{ inches}[/tex]

We know that the area of a semicircle is given by :-

[tex]A=\dfrac{1}{2}(\pi)r^2[/tex]

Then , the area of the stained glass window :-

[tex]A=\dfrac{1}{2}(3.14)(15)^2=353.25\text{ sq. inches}[/tex]

The cost of window will be :-

[tex]C=353.25\times1.40=\$494.55[/tex]

Hence, the cost of window = $494.55

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Rewritten by : Brahmana