To find the circumference and the area of a circular flower bed, you can use the following formulas:
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Circumference (C) of a circle is calculated using the formula: \[ C = \pi \times d \] where \( d \) is the diameter of the circle.
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Area (A) of a circle is calculated using the formula: \[ A = \pi \times r^2 \] where \( r \) is the radius of the circle.
Given that the diameter of the flower bed is 12 feet, we first need to find the radius: \[ r = \frac{d}{2} = \frac{12 \text{ ft}}{2} = 6 \text{ ft} \]
Now, let's calculate the circumference: \[ C = \pi \times 12 \text{ ft} \approx 3.14 \times 12 \text{ ft} \approx 37.68 \text{ ft} \]
Now, let's calculate the area: \[ A = \pi \times (6 \text{ ft})^2 = \pi \times 36 \text{ ft}^2 \approx 3.14 \times 36 \text{ ft}^2 \approx 113.04 \text{ ft}^2 \]
Summary:
- Circumference of the flower bed: approximately 37.68 feet
- Area of the flower bed: approximately 113.04 square feet
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