To calculate the area of a circle, you can use the formula:
\[ A = \pi r^2 \]
Here, \( r \) is the radius of the circle. You've provided the diameter of the circle as 13 inches. The radius is half of the diameter, so:
\[ r = \frac{13}{2} = 6.5 \text{ in} \]
Now, plug the radius into the area formula. Using \( \pi \approx 3.14 \):
\[ A = 3.14 \times (6.5)^2 \]
First, calculate \( (6.5)^2 \):
\[ (6.5)^2 = 42.25 \]
Now, substitute this value back into the area formula:
\[ A = 3.14 \times 42.25 \]
Now multiply:
\[ A \approx 3.14 \times 42.25 \approx 132.665 \]
Rounding to the nearest hundredth:
\[ A \approx 132.67 \text{ in}^2 \]
So the area of the circle is approximately:
\[ A \approx 132.67 \text{ in}^2 \]