volume_mute
Perimeter of a Norman Window (Rectangle + Semicircle)
publish date: 2026/05/17 03:18:35.125871 UTC
volume_mute
A Norman window is formed by placing a semicircular window on top of a rectangular window. Find the total perimeter of the window shown.
Correct Answer
31.42 ft
Explanation
Rectangular part (3 sides only — the shared top edge is not traced):
\[P_{\text{rect}} = 8 + 6 + 8 = 22 \text{ ft}\]
Semicircular part (half the circumference of a circle with \(D = 6\) ft):
\[P_{\text{semi}} = \frac{1}{2}\pi D = \frac{1}{2}\pi(6) \approx 9.42 \text{ ft}\]
Total: \(22 + 9.42 \approx 31.42\) ft.
Reference
Mathematics for college students