Subjects geometry

Garden Seed

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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.