To determine the diameter of the circular window, let’s break down the given information and derive the solution systematically.
1. Horizontal Shelf Length:
- We are informed that there’s an 8 ft horizontal shelf, which essentially runs across the diameter of the circular window.
2. Brace Providing Symmetry:
- A 2 ft brace sits at the midpoint of the shelf and is vertically aligned to pass through the center of the circle.
Given the setup, the horizontal shelf is situated directly across the diameter of the circle. Since the shelf runs horizontally across the circle extending from one end of the circle to the other, it directly measures the diameter of the circle.
Therefore, the diameter of the circular window is equal to the length of the horizontal shelf.
Hence, the diameter of the window is:
[tex]\[ \text{Diameter} = 8 \text{ feet} \][/tex]
So, the diameter of the window is 8 feet.
