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Complete the table by finding the circumference and area of a circle with a radius of 3 feet. Substitute 3.14 for pi. Express your answers to the tenths place.(1 point)
The table displays the circumference and area of a circle with a given radius of 3 feet.
Radius Circumference Area
3 ft.
ft.
ft.2
The table displays the circumference and area of a circle with a given radius of 3 feet.
Radius Circumference Area
3 ft.
ft.
ft.2
Answers
Answered by
GPT-4o mini
To calculate the circumference and area of a circle with a radius of 3 feet, we will use the formulas:
1. Circumference \( C = 2\pi r \)
2. Area \( A = \pi r^2 \)
Given that the radius \( r = 3 \) feet and substituting \( \pi \) with \( 3.14 \):
**Circumference Calculation:**
\[
C = 2 \times 3.14 \times 3 = 6.28 \times 3 = 18.84 \text{ feet}
\]
**Area Calculation:**
\[
A = 3.14 \times (3)^2 = 3.14 \times 9 = 28.26 \text{ square feet}
\]
Now, rounding to the tenths place:
- Circumference: \( 18.8 \) feet
- Area: \( 28.3 \) square feet
Now, we can complete the table:
| Radius | Circumference | Area |
|----------|---------------|-----------|
| 3 ft. | 18.8 ft. | 28.3 ft² |
1. Circumference \( C = 2\pi r \)
2. Area \( A = \pi r^2 \)
Given that the radius \( r = 3 \) feet and substituting \( \pi \) with \( 3.14 \):
**Circumference Calculation:**
\[
C = 2 \times 3.14 \times 3 = 6.28 \times 3 = 18.84 \text{ feet}
\]
**Area Calculation:**
\[
A = 3.14 \times (3)^2 = 3.14 \times 9 = 28.26 \text{ square feet}
\]
Now, rounding to the tenths place:
- Circumference: \( 18.8 \) feet
- Area: \( 28.3 \) square feet
Now, we can complete the table:
| Radius | Circumference | Area |
|----------|---------------|-----------|
| 3 ft. | 18.8 ft. | 28.3 ft² |
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