Bot GPT 4-o mini 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 radius is half of the diameter. Given that the diameter of the circle is 10.6 yards, we can calculate the radius as follows:
\[ r = \frac{10.6}{2} = 5.3 \text{ yards} \]
Now we can substitute the radius into the area formula:
\[ A = \pi (5.3)^2 \]
Calculating \( (5.3)^2 \):
\[ (5.3)^2 = 28.09 \]
Now substitute this value into the area formula:
\[ A = \pi \times 28.09 \]
Using \( \pi \approx 3.14 \):
\[ A \approx 3.14 \times 28.09 \approx 88.0506 \]
Rounding to the tenths place:
\[ A \approx 88.1 \]
Thus, the area of the circle is approximately \( \boxed{88.1} \) square yards.
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