To find the area of a circle, we 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 is 14 m, we can find the radius:
\[ r = \frac{d}{2} = \frac{14 , \text{m}}{2} = 7 , \text{m} \]
Now we can substitute the radius into the area formula:
\[ A = \pi (7 , \text{m})^2 = \pi (49 , \text{m}^2) = 49\pi , \text{m}^2 \]
Using the approximation \( \pi \approx 3.14 \):
\[ A \approx 49 \times 3.14 \approx 153.86 , \text{m}^2 \]
Rounding to the nearest tenth, the area is:
\[ A \approx 153.9 , \text{m}^2 \]
Thus, the area of the circle is approximately \( 153.9 , \text{m}^2 \).