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. (2 pt)
Draw and label the window:
Answer: _____________
A = pi * r^2
To find the area of the stained glass window, we can use the formula for the area of a semicircle. The formula is:
A = (π * r^2) / 2
First, let's find the radius of the semicircle. The bottom edge of the window is the diameter of the semicircle, so we divide its length by 2 to get the radius:
r = 36 inches / 2 = 18 inches
Now we can plug the radius into the formula to find the area:
A = (π * 18^2) / 2
Calculating this expression:
A ≈ (3.14 * 18^2) / 2
A ≈ (3.14 * 324) / 2
A ≈ 1017.36 / 2
A ≈ 508.68
Therefore, the area of the stained glass window is approximately 508.68 square inches.