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Welcome to the article A stained glass window is going to be installed in a semi circular opening above a 34 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 34-inch wide door. If the stained glass window costs $0.95 per square inch, how much will the window cost? Use 3.14 for [tex]\pi[/tex] as necessary.

Answer :

To calculate the cost of a stained glass window installed in a semi-circular opening above a 34-inch wide door, the area of the window needs to be determined. The cost can then be calculated by multiplying the area of the window by the cost per square inch ($0.95).

The semi-circular opening can be thought of as half of a circle. To find the area of the window, we need to calculate the area of the corresponding full circle and divide it by 2. The width of the door, which is 34 inches, can be used as the diameter of the circle.

The formula to calculate the area of a circle is A = π * r^2, where A is the area and r is the radius. Since the diameter is given as 34 inches, the radius would be half of the diameter, which is 17 inches.

Plugging the values into the formula, we have A = 3.14 * 17^2 = 3.14 * 289 ≈ 906.46 square inches. This is the area of the full circle.

Since we are interested in the semi-circular opening above the door, we divide this area by 2, resulting in approximately 453.23 square inches.

Finally, to calculate the cost of the stained glass window, we multiply the area by the cost per square inch: 453.23 * $0.95 ≈ $430.56. Therefore, the window will cost approximately $430.56.

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Rewritten by : Brahmana