Question7. A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 -pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain or show your reasoning.

Studdy Solution
Calculate the number of bags required:
Since each bag contains $50$ pounds, divide the total pounds by $50$:
$$\text{Number of bags} = \frac{165.13}{50}$$ $$\text{Number of bags} \approx 3.3026$$
Since the groundskeeper cannot purchase a fraction of a bag, round up to the nearest whole number:
$$\text{Number of bags} = 4$$
The smallest number of bags the groundskeeper must buy is:
$$\boxed{4}$$