To calculate the area of a circle, you can use the formula:
\[ A = \pi r^2 \]
In this case, you are given the radius \( r = 13 \) inches. Using \( \pi \approx 3.14 \), the area can be calculated as follows:
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Calculate \( r^2 \): \[ r^2 = 13^2 = 169 \]
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Multiply by \( \pi \): \[ A = 3.14 \times 169 \] \[ A \approx 531.46 , \text{in}^2 \]
Therefore, the area of the circle is approximately:
\[ A \approx 531.46 , \text{in}^2 \]
Rounded to the nearest hundredth, the area is:
\[ A = 531.46 , \text{in}^2 \]