1. **State the problem:**
Balena has a circular garden with radius 10 m and wants to cover it completely with grass seed. Each box covers 46 m². We need to estimate how many boxes are required.
2. **Formula for area of a circle:**
$$A = \pi r^2$$
where $r$ is the radius.
3. **Calculate the area of the garden:**
Given $r = 10$ m,
$$A = \pi \times 10^2 = 100\pi \approx 314.16 \text{ m}^2$$
4. **Calculate the number of boxes needed:**
Each box covers 46 m², so
$$\text{Number of boxes} = \frac{\text{Area}}{\text{Coverage per box}} = \frac{314.16}{46} \approx 6.83$$
5. **Interpretation:**
Since Balena cannot buy a fraction of a box, he needs to round up to the next whole number.
6. **Final answer:**
Balena needs **7 boxes** of grass seed to cover the garden.
Garden Seed
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