To calculate the area of a circle, you can use the formula:
\[ A = \pi \times r^2 \]
where \( r \) is the radius of the circle. Given the problem states "10 in," it typically means the diameter. Therefore, the radius \( r \) would be half of the diameter:
\[ r = \frac{10}{2} = 5 \text{ in} \]
Now, substituting the radius into the area formula:
\[ A = 3.14 \times (5)^2 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substitute back into the area formula:
\[ A = 3.14 \times 25 \]
Calculating this:
\[ A = 78.5 \]
Thus, the area of the circle is
\[ A \approx 78.50 \text{ in}^2 \]
Rounded to the nearest hundredth, the final answer is:
\[ A = 78.50 \text{ in}^2 \]