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.(1 point

1 answer

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 that the diameter is 16 yards, we can find the radius:

\[ r = \frac{16}{2} = 8 \text{ yards} \]

Now, plug the radius into the area formula using \( \pi \approx 3.14 \):

\[ \text{Area} = 3.14 \times (8)^2 \]

Calculating \( 8^2 \):

\[ 8^2 = 64 \]

Now, substitute that back into the area calculation:

\[ \text{Area} = 3.14 \times 64 \]

Calculating \( 3.14 \times 64 \):

\[ 3.14 \times 64 = 200.96 \]

Thus, the area of the circle is:

\[ \boxed{200.96} \text{ square yards} \]