Question

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

Answer 1

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:

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