To complete the table with the given radius of 38 feet, we'll first calculate the circumference and area of the circle using the formulas:
- Circumference (C) = 2 * π * r
- Area (A) = π * r²
Where:
- \( r \) is the radius
- \( π \) is approximately 3.14
Step 1: Calculate the Circumference
Using the formula for circumference:
\[ C = 2 * 3.14 * 38 \]
Calculating that:
\[ C = 6.28 * 38 = 238.64 \text{ ft.} \]
Step 2: Calculate the Area
Using the formula for area:
\[ A = 3.14 * (38)² \]
Calculating \( (38)² \):
\[ (38)² = 1444 \]
Now, substitute it back into the area formula:
\[ A = 3.14 * 1444 = 4539.76 \text{ ft}^2 \]
Completed Table
Now we can fill in the table with the computed values.
| Radius | Circumference | Area | |-----------|---------------|-------------| | 38 ft. | 238.64 ft. | 4539.76 ft² |
Thus, the finished values for circumference and area, expressed to the hundredths place, are:
- Circumference: 238.64 ft.
- Area: 4539.76 ft².
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