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To find the area of a circle with a diameter of 16 yards, we use the formula for the area of a circle:

\[
A = \pi r^2
\]

Where:
- \(A\) is the area,
- \(r\) is the radius,
- \(\pi\) is approximately 3.14.

The radius \(r\) is half of the diameter, so:
\[
r = \frac{16}{2} = 8 \text{ yards}
\]

Now, we can calculate the area:

\[
A = 3.14 \times 8^2 = 3.14 \times 64 = 200.96 \text{ square yards}
\]

So, the estimated area is **200.96 square yards**.

Would you like further details or have any questions?

Here are 5 related questions:
1. What is the area of a circle with a diameter of 10 yards using \( \pi \approx 3.14 \)?
2. How would the area change if the diameter was doubled?
3. Can you calculate the area of a circle with a radius of 12 yards?
4. What is the circumference of the same circle using \( C = 2\pi r \)?
5. How does using a more accurate value for \( \pi \), like \( 3.14159 \), affect the result?

**Tip:** The area of a circle grows proportionally to the square of its radius, so even small changes in radius significantly affect the area.

What is the area of a circle with a diameter of 16 yards? Estimate the area to the hundredths place using 3.14 for π.

Estimate the area of a circle with a 16-yard diameter, using the formula A = πr^2. Calculate the area using 3.14 for π and round to the nearest hundredths place. This problem involves geometry and is suitable for students in Grades 6-8.

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