1. **State the problem:** We need to approximate the area of the air (shaded region) and the foul territory (nonshaded region) in a baseball stadium diagram where $H$ is home plate. 2. **Given dimensions:** Radius $r = 325$ feet, and the smaller dimension $60$ feet. 3. **Formula for the shaded area:** The shaded region is given by $$A = \frac{1}{4} \pi r^2 - \frac{1}{2} \times 60 \times 60$$ where the first term is a quarter circle area and the second term is the area of a right triangle. 4. **Calculate the quarter circle area:** $$\frac{1}{4} \pi r^2 = \frac{1}{4} \pi (325)^2 = \frac{1}{4} \pi \times 105625 = 26406.25 \pi$$ 5. **Approximate using $\pi \approx 3.1416$:** $$26406.25 \times 3.1416 \approx 82956.5$$ square feet. 6. **Calculate the triangle area:** $$\frac{1}{2} \times 60 \times 60 = 1800$$ square feet. 7. **Subtract triangle area from quarter circle area:** $$A \approx 82956.5 - 1800 = 81156.5$$ square feet. 8. **Round to nearest square foot:** $$A \approx 81157$$ square feet. **Final answer:** The approximate area of the shaded region (air) is **81157** square feet. **Note:** The foul territory (nonshaded) area is the remaining area outside this quarter circle minus the shaded region, but since only the shaded area formula was given, we provide this as the main result.