Welcome to the article Julie is ordering a stained glass window for the entryway of her house The window she wants to replace is a regular octagon with side. 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 area covered by Julie's regular octagonal stained glass window, with each side measuring 18 inches and an apothem length of 18.1 inches, is 1300.8 square inches.
Explanation:
The area covered by a stained glass window that is a regular octagon can be calculated by the formula for the area of a regular polygon, which is Area = (1/2) × Perimeter × Apothem. Given that the side length of the octagon is 18 inches and the apothem is 18.1 inches, we first find the perimeter by multiplying the side length by the number of sides in an octagon (8 sides), which gives us Perimeter = 18 inches × 8 = 144 inches. Using the area formula, the area of Julie's stained glass will be Area = (1/2) × 144 inches × 18.1 inches = 1300.8 square inches.
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Thank you for reading the article Julie is ordering a stained glass window for the entryway of her house The window she wants to replace is a regular octagon with side. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Brahmana