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

π
.(1 point)
square yards

1 answer

To calculate 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 of the circle is 16 yards, the radius \( r \) is:

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

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

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

Calculating \( (8 \text{ yards})^2 \):

\[ (8 \text{ yards})^2 = 64 \text{ square yards} \]

Now substituting back into the area formula:

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

Now calculating \( 3.14 \times 64 \):

\[ \text{Area} = 200.96 \text{ square yards} \]

Therefore, the area of the circle is:

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