To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given a diameter of 16 yards, the radius \( r \) is:
\[ r = \frac{16}{2} = 8 \text{ yards} \]
Now, substituting the radius into the area formula, we have:
\[ \text{Area} = \pi (8)^2 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now multiply by \( \pi \). Using \( \pi \approx 3.14 \):
\[ \text{Area} \approx 3.14 \times 64 \]
Calculating that:
\[ 3.14 \times 64 = 200.96 \]
Thus, the estimated area of the circle to the hundredths place is:
\[ \boxed{200.96} \text{ square yards} \]
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