Answer:
The area of the reference section excluding its storage area is approximately 157.78 square feet.
Step-by-step explanation:
The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:
[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]
[tex]A \approx 157.781\,ft^{2}[/tex]
The area of the reference section excluding its storage area is approximately 157.78 square feet.