To calculate the circumference and area of a circle, we can use the following formulas:
- Circumference (\(C\)) = \(2 \pi r\)
- Area (\(A\)) = \(\pi r^2\)
Given that the radius (\(r\)) is 38 feet and substituting 3.14 for \(\pi\):
Circumference Calculation:
\[ C = 2 \pi r = 2 \times 3.14 \times 38 \]
Calculating it step by step:
\[ C = 2 \times 3.14 = 6.28 \] \[ C = 6.28 \times 38 = 238.64 \text{ feet} \]
Area Calculation:
\[ A = \pi r^2 = 3.14 \times (38^2) \]
Calculating \(38^2\):
\[ 38^2 = 1444 \]
Now substitute that into the area formula:
\[ A = 3.14 \times 1444 = 4537.76 \text{ square feet} \]
Now we can complete the table:
| Radius | Circumference | Area | |--------|---------------|-----------| | 38 ft. | 238.64 ft. | 4537.76 ft² |
Final Answers:
- Circumference: 238.64 ft
- Area: 4537.76 ft²
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