To find the area of a circle, you can use the formula:
\[ \text{Area} = \pi r^2 \]
where \( r \) is the radius of the circle.
First, you need to find the radius from the diameter:
\[ r = \frac{\text{diameter}}{2} = \frac{50 , \text{m}}{2} = 25 , \text{m} \]
Now, plug the radius into the area formula:
\[ \text{Area} = \pi (25 , \text{m})^2 = \pi \times 625 , \text{m}^2 \]
Now, using the approximate value of \( \pi \) (about 3.14):
\[ \text{Area} \approx 3.14 \times 625 , \text{m}^2 \approx 1963.75 , \text{m}^2 \]
Rounding this to the nearest whole number:
\[ \text{Area} \approx 1964 , \text{m}^2 \]
Therefore, the area of the circle is approximately 1964 m².