The problem is asking to calculate the area of a circle given its diameter and round the result to the nearest whole number.

Step-by-Step Solution:

1. Diameter of the circle: 30 ft.
2. Radius of the circle: $r = \frac{\text{diameter}}{2} = \frac{30}{2} = 15 \, \text{ft}.$
3. Formula for the area of a circle: $A = \pi r^2.$
4. Substitute the radius into the formula: $A = \pi (15)^2 = \pi (225).$
5. Approximate using $\pi \approx 3.14159$: $A \approx 3.14159 \times 225 = 706.85775 \, \text{ft}^2.$
6. Round to the nearest whole number: $A \approx 707 \, \text{ft}^2.$

Final Answer:

$\boxed{707 \, \text{ft}^2}$

Would you like further explanation or assistance?

Related Questions:

1. What would be the area if the diameter was doubled?
2. How does rounding affect precision in geometry problems?
3. What is the circumference of this circle to the nearest whole number?
4. If the radius were given instead of the diameter, would the process change?
5. Can the area formula be derived from basic geometric principles?

Tip:

Always double-check units in geometry problems to ensure consistency.