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

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} ]