To solve the given problem, we will use the formulas for the diameter, circumference, radius, and area of a circle. Given that the diameter of the circle is 20 feet, let’s compute all the required measurements.
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Diameter: The diameter is given as \(20 \text{ ft}\).
\[ \text{Diameter} = 20 \text{ ft} \]
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Radius: The radius is half of the diameter.
\[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{20 \text{ ft}}{2} = 10 \text{ ft} \]
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Circumference: The circumference \(C\) of a circle is calculated using the formula:
\[ C = \pi \times \text{Diameter} \]
Substituting the given diameter:
\[ C = 3.14 \times 20 \text{ ft} = 62.8 \text{ ft} \]
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Area: The area \(A\) of a circle is calculated using the formula:
\[ A = \pi \times \text{Radius}^2 \]
The radius we calculated is 10 ft, so:
\[ A = 3.14 \times (10 \text{ ft})^2 = 3.14 \times 100 \text{ ft}^2 = 314 \text{ square feet} \]
Now, we can summarize the answers:
- Diameter = 20 ft
- Circumference = 62.8 ft
- Radius = 10 ft
- Area = 314 square feet