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Welcome to the article A semi circular transom above a 34 inch door is to contain a stained glass window If the stained glass window costs 1 40 per. 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 semi-circular transom above a 34-inch door is to contain a stained glass window. If the stained glass window costs $1.40 per square inch, how much will the window cost?

Answer :

The cost of the semi-circular transom stained glass window is $107.702.

What is defined as the semicircle?

A semicircle is formed when a circle is divided in half along its diameter. The two halves are equal in size.

  • A semicircle, also known as a half-disk, is a circular sheet plate that has been folded in half.
  • The semicircle has one line of symmetry, which is known as the reflection symmetry.
  • Because the semicircle is half of a 360° circle, the semicircle's arc always measures 180°.

Now, for the for given question;

The width of the door is given as 34 inch which is same as the diameter of the semicircle of window.

The radius of the window becomes 34/2 = 17 inches.

Now, the formula for the area of the semicircle is;

A = πr²/2

Where, r is the radius and π = 3.14.

Substitute the values;

A = (3.14)(17)²/2

On simplification

A = 76.93 square inch.

Now, the cost of window glass is $1.40 per square inch.

Thus, for 76.93 square inch.

Rate = 76.93×1.40

Rate = $107.702

Therefore, the cost of the semi-circular transom stained glass window is found to be $107.702.

To know more about the semicircle, here

https://brainly.com/question/15937849

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Rewritten by : Brahmana