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

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.(1 point)
square yards

1 answer

To find the area of a circle, you can use the formula:

\[ A = \pi r^2 \]

where \( r \) is the radius of the circle. The diameter of the circle is given as 16 yards, so the radius \( r \) is half of the diameter:

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

Now, using \( \pi \approx 3.14 \), we can calculate the area:

\[ A = 3.14 \times (8)^2 = 3.14 \times 64 \]

Now calculating \( 3.14 \times 64 \):

\[ A = 3.14 \times 64 = 200.96 \]

Thus, the area of the circle is

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