Middle School

Welcome to the article A stained glass window is shaped like a semicircle The bottom edge of the window is 36 inches long What is the area of the. 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 shaped like a semicircle. The bottom edge of the window is 36 inches long. What is the area of the stained glass window? Round your answer to the nearest hundredth.

Answer :

To calculate the area of the semi circular stained glass window, use the diameter of 36 inches to find the radius (18 inches), apply the area formula for a circle, and then divide by 2 to get the area of the semicircle, which is 508.94 square inches when rounded to the nearest hundredth.

The student wants to find the area of a stained glass window shaped like a semicircle with a bottom edge that is 36 inches long. To calculate the area of a semicircle, you first need to find the area of a full circle using the formula
A = πr², then divide by 2 since a semicircle is half of a full circle. In this case, the diameter of the full circle is the same as the bottom edge of the window, so the radius (r) is half of 36 inches, which is 18 inches. Thus, the area of the full circle would be π(182),
and the area of the semicircle would be half of this value. After performing the calculation
(A = ½π(182) = ½π(324) = 162π), we can approximate π as 3.14159 and find the area of the semicircle to be approximately 508.9384 square inches. We round this to the nearest hundredth to obtain an area of 508.94 square inches.

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Rewritten by : Brahmana