To find the diameter of a circle given its area, you can use the formula for the area of a circle:
\[ A = \pi r^2 \]
where \( A \) is the area and \( r \) is the radius.
Given that the area \( A = 586 , m^2 \), we can solve for \( r \):
\[ r^2 = \frac{A}{\pi} \]
Substituting the values:
\[ r^2 = \frac{586}{\pi} \]
Calculating \( \pi \) (approximately 3.14):
\[ r^2 \approx \frac{586}{3.14} \approx 186.64 \]
Now, taking the square root to find \( r \):
\[ r \approx \sqrt{186.64} \approx 13.65 , m \]
The diameter \( d \) is twice the radius:
\[ d = 2r \approx 2 \times 13.65 \approx 27.3 , m \]
To the nearest meter, the length of the diameter is:
\[ \boxed{27 , m} \]
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