Welcome to the article A stained glass window is shaped like a semicircle The bottom edge of the window is 36 inches long How much colored glass is needed. 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!
Answer :
Final answer:
The amount of colored glass needed to cover a semicircle-stained window with a diameter of 36 inches is approximately 508.68 square inches.
Explanation:
The given stained glass window is shaped like a semicircle with the bottom edge (the diameter) measuring 36 inches. To find the amount of colored glass needed to cover the stained window, we need to calculate the area of the semicircle. The formula for the area of a circle is πr², but since we have a semicircle, we will use 1/2 the area of a circle. And the radius (r) is half of the diameter.
So, r = 36/2 = 18 inches.
Therefore, the area of the semicircle = 1/2 * π * r² = 1/2 * π * (18²) = 1/2 * π * 324 = 162π square inches. We round this to the nearest hundredth to get 508.68 square inches. So, you would need approximately 508.68 square inches of colored glass to cover the stained window.
Learn more about Area of Semicircle here:
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Rewritten by : Brahmana