To analyze the circle with a diameter of 20 ft, we can use the following formulas:
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Diameter (D): Given as 20 ft.
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Radius (R): The radius is half of the diameter, so: \[ R = \frac{D}{2} = \frac{20 , \text{ft}}{2} = 10 , \text{ft} \]
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Circumference (C): The circumference of a circle is calculated using the formula: \[ C = \pi \times D \] Using \( \pi \approx 3.14 \): \[ C = 3.14 \times 20 , \text{ft} = 62.8 , \text{ft} \]
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Area (A): The area of a circle is calculated using the formula: \[ A = \pi \times R^2 \] Using \( R = 10 , \text{ft} \): \[ A = 3.14 \times (10 , \text{ft})^2 = 3.14 \times 100 , \text{ft}^2 = 314 , \text{square ft} \]
Now, let's summarize the results:
- Diameter = 20 ft
- Circumference = 62.8 ft
- Radius = 10 ft
- Area = 314 square ft