To find the area of a circle with a given diameter, we can use the formula for the area of a circle:
\[ A = \pi r^2 \]
where \( r \) is the radius of the circle. The radius is half of the diameter. Given that the diameter is 16 yards, the radius is:
\[ r = \frac{16}{2} = 8 \text{ yards} \]
Now, we can substitute the radius into the area formula using \( \pi \approx 3.14 \):
\[ A = 3.14 \times (8)^2 \]
Calculating \( (8)^2 \):
\[ (8)^2 = 64 \]
Now substitute this back into the area formula:
\[ A = 3.14 \times 64 \]
To calculate \( 3.14 \times 64 \):
\[ A = 200.96 \]
Thus, the area of the circle, estimated to the hundredths place, is:
\[ \boxed{200.96} \text{ square yards} \]