Welcome to the article A stained glass window is in the shape of a semicircle What is the distance around the window in inches if the diameter is 40. 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 distance around the semi-circular stained glass window is calculated by adding the length of the straight edge (diameter) of 40 inches, to the length of the curved edge (half the circumference), yielding a total of 102.83 inches around the window.
Explanation:
To compute the distance around the semi-circular stained glass window, we need to calculate two things: the length of the straight edge (the diameter) and the length of the curved edge (half the circumference of a full circle).
The length of the straight edge is given as 40 inches.
To find the length of the curved edge, we use the formula for the circumference of a circle, which is C=πD, where C is the circumference and D is the diameter. Half of this would be the semi-circle, hence .5C= .5πD. Substituting 40 inches for D gives us .5 * π * 40 = 62.83 inches.
Adding these two components together, 40 inches (diameter) + 62.83 inches (half the circumference), gives us the total distance around the window: 102.83 inches.
Learn more about Semi-Circle Perimeter here:
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