Final answer:
To find the number of bags to cover a circular field, we calculate the area of the field in square feet and divide it by the coverage area of one bag. Given the area from the conversion, we find that approximately 3 bags are needed. However, there may be an error since none of the provided answer choices match this calculation.
Step-by-step explanation:
To calculate the number of bags needed to cover a circular field with 50-pound bags of grass seed, where each bag covers 20,000 square feet, we first need to determine the area of the circular field. Since the area of a circle is given by the formula A = πr^2 (where r is the radius of the circle), we'll need the radius to proceed, but it has not been provided in this question.
However, if we use the conversion given in the reference material, the area in inches squared is approximately 6 × 10^6 in.^2. We convert this to feet squared (since 1 square foot = 144 square inches) by dividing 6 × 10^6 in.^2 by 144, which gives approximately 41,666.67 ft.^2.
Now, to find the number of bags needed, we divide the total area by the area covered by one bag: 41,666.67 ft.^2 / 20,000 ft.^2/bag ≈ 2.083 bags. Since we cannot purchase a fraction of a bag, we round up to the nearest whole number, resulting in 3 bags. For the question provided, none of the answers listed matches the calculation, so there may be an error in the provided answers or the area given. In practice, we would need to confirm the radius of the field or the correct total area in square feet before making a final purchase decision.