To find the area of the circle, we can use the formula:
\[ A = \pi r^2 \]
Given that \( r = 14 , \text{m} \) and using \( \pi \approx 3.14 \):
\[ A = 3.14 \times (14)^2 \]
Calculating \( (14)^2 \):
\[ (14)^2 = 196 \]
Now substituting this back into the area formula:
\[ A = 3.14 \times 196 \]
Calculating this gives:
\[ A = 615.44 \]
Rounding to the nearest hundredth, the area of the circle is:
\[ \boxed{615.44} \]