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)
square yards
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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, the radius \( r \) is:

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

Now, substituting 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, substituting back into the area formula:

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

Calculating this:

\[ 3.14 \times 64 = 200.96 \]

Therefore, the area of the circle is:

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

So, the final answer, rounded to the hundredths place, is 200.96 square yards.