To find the circumference and area of a circular flower bed, you can use the following formulas:
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Circumference (C): \[ C = \pi d \] where \(d\) is the diameter.
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Area (A): \[ A = \pi r^2 \] where \(r\) is the radius.
Given that the diameter of the flower bed is 10 feet, we can calculate:
- Radius (r): \[ r = \frac{d}{2} = \frac{10 \text{ feet}}{2} = 5 \text{ feet} \]
Now, we can calculate the circumference:
- Circumference: \[ C = \pi \times 10 \text{ feet} \approx 3.14 \times 10 \text{ feet} \approx 31.4 \text{ feet} \]
Next, we calculate the area:
- Area: \[ A = \pi \times (5 \text{ feet})^2 = \pi \times 25 \text{ square feet} \approx 3.14 \times 25 \text{ square feet} \approx 78.5 \text{ square feet} \]
Therefore, the calculations yield:
- Circumference: approximately 31.4 feet
- Area: approximately 78.5 square feet