To find the circumference of a circle, the formula is:
\[ C = 2 \pi r \]
Where \( r \) is the radius of the circle. For a circle with a radius of 12 feet and using \( \pi \approx 3.14 \):
\[ C = 2 \times 3.14 \times 12 \]
Calculating that:
\[ C = 2 \times 3.14 = 6.28 \] \[ C = 6.28 \times 12 = 75.36 \]
So the circumference is approximately 75.36 feet.
Now, to estimate the area of the circle, we use the formula:
\[ A = \pi r^2 \]
Using \( \pi \approx 3.14 \) and \( r = 12 \):
\[ A = 3.14 \times (12^2) \] \[ A = 3.14 \times 144 \]
Calculating that:
\[ A = 3.14 \times 144 = 451.2 \]
Rounded to the hundredths place, the area is approximately 451.20 square feet.
Looking at your options:
- A. 75.4 (this is the circumference, not the area)
- B. 452.2 (this is close to the area, but not exact)
- C. 452.16 (this is very close to our estimate)
- D. 113.04 (not relevant)
The best answer for the area is C. 452.16, even though our direct calculation was 451.20 due to rounding.
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