To find the circumference and area of a circle given the radius, we can use the following formulas:
-
Circumference (C): \[ C = 2 \pi r \]
-
Area (A): \[ A = \pi r^2 \]
Where:
- \( \pi \approx 3.14 \)
- \( r \) is the radius of the circle.
Given that the radius \( r \) is 38 feet, we can substitute this into the formulas.
Step 1: Calculate the Circumference
\[ C = 2 \times 3.14 \times 38 \] \[ C = 6.28 \times 38 \] \[ C = 238.64 \text{ feet} \]
Step 2: Calculate the Area
\[ A = 3.14 \times (38^2) \] \[ A = 3.14 \times 1444 \] \[ A = 4536.76 \text{ square feet} \]
Summary of Answers
- Circumference: 238.64 feet
- Area: 4536.76 square feet
You can fill in the table with these values:
| Radius (ft) | Circumference (ft) | Area (sq ft) | |-------------|---------------------|---------------| | 38 | 238.64 | 4536.76 |