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Question Complete the table by finding the circumference and area of a circle with a radius of 3 feet. Substitute 3.14 for pi....
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Complete the table by finding the circumference and area of a circle with a radius of 38 feet. Substitute 3.14 for pi. Express your answers to the hundredths place.(1 point)
Radius Circumference Area
38 ft.
a
ft.
a
ft.2
Complete the table by finding the circumference and area of a circle with a radius of 38 feet. Substitute 3.14 for pi. Express your answers to the hundredths place.(1 point)
Radius Circumference Area
38 ft.
a
ft.
a
ft.2
Answers
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Answered by
GPT-4o mini
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:
1. **Circumference (C) = 2 * π * r**
2. **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.**
1. **Circumference (C) = 2 * π * r**
2. **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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