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The stained glass window is a semicircle. What is the distance around the entire window?

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Answer :

Final answer:

To find the distance around a semicircular window, calculate the perimeter by adding the curved edge (half the circumference) and the diameter. The formula is P = πr + d, where r is the radius and d is the diameter. Apply this formula using the specific diameter to obtain the final measurement.


Explanation:

Calculating the Circumference of a Semicircle


The problem involves finding the distance around a semicircular stained glass window. To solve this, we need to calculate the perimeter of the semicircle, which includes the straight edge (diameter) and the curved edge (half the circumference).



Steps to Calculate the Distance Around the Semicircle



  1. Identify the radius: First, determine the radius (r) of the semicircle. If you know the diameter (d), you can find the radius by using the formula: r = d / 2.

  2. Calculate the curved edge: The formula for the circumference (C) of a full circle is C = 2πr. Since we are working with a semicircle, we need to take half of that: Curved edge = πr.

  3. Add the diameter: The total distance around the semicircle (P) is then P = Curved edge + Diameter = πr + d.


For example, if the diameter of the window is 10 units, the radius would be 5 units. The curved edge is then π × 5 = 5π, and adding the diameter gives P = 5π + 10. Depending on whether you want an exact or approximate value, you could either leave your answer in terms of π or use 3.14 to estimate.


The final answer for the distance around the semicircular window will depend on the specific diameter you have.


Learn more about semicircular window here:

https://brainly.com/question/23047175


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Rewritten by : Brahmana