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The problem asks to find the area of a circle with a radius of 12 feet, and we're asked to estimate the area using 3.14 for \(\pi\).

The formula for the area of a circle is:

\[
A = \pi r^2
\]

Where:
- \(A\) is the area,
- \(\pi\) is approximately 3.14, and
- \(r\) is the radius, which is 12 feet in this case.

Now, we plug in the values:

\[
A = 3.14 \times (12)^2
\]
\[
A = 3.14 \times 144
\]
\[
A = 452.16 \, \text{square feet}
\]

So, the estimated area of the circle is **452.16 square feet**.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. What is the circumference of a circle with a radius of 12 feet?
2. How does the area change if the radius is doubled?
3. What is the area of a circle with a radius of 15 feet using \(\pi = 3.14\)?
4. How does using the exact value of \(\pi\) (3.14159) affect the area calculation?
5. What is the radius of a circle if its area is 500 square feet?

**Tip**: Remember that the area of a circle scales with the square of the radius, so doubling the radius quadruples the area!

What is the area of a circle with a radius of 12 feet? Estimate the area to the hundredths place using 3.14 for π.

Find the area of a circle with a radius of 12 feet, estimating the value of π as 3.14. This step-by-step solution will guide you through the process, suitable for students in Grades 6-8.

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