To find the length of the diameter of a circle given its area, we can use the formula for the area of a circle:
\[ A = \pi r^2 \]
Where \( A \) is the area and \( r \) is the radius. We can rearrange this to find the radius:
\[ r = \sqrt{\frac{A}{\pi}} \]
Once we find the radius, we can find the diameter \( d \) using the formula:
\[ d = 2r \]
Now, given that the area \( A \) is 1810 square meters, we can calculate the radius:
\[ r = \sqrt{\frac{1810}{\pi}} \]
Using \( \pi \approx 3.14159 \):
\[ r = \sqrt{\frac{1810}{3.14159}} \approx \sqrt{576.99} \approx 24.0 \text{ m} \]
Now we can find the diameter:
\[ d = 2r \approx 2 \times 24.0 \approx 48.0 \text{ m} \]
So, the length of the diameter to the nearest meter is approximately 48 m.