To find the diameter of a circle when given the 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 \( A = 450 \) square meters, we can set up the equation:
\[ 450 = \pi r^2 \]
To solve for \( r \), we first divide both sides by \( \pi \):
\[ r^2 = \frac{450}{\pi} \]
Next, we take the square root of both sides to find \( r \):
\[ r = \sqrt{\frac{450}{\pi}} \]
Now using \( \pi \approx 3.14 \):
\[ r = \sqrt{\frac{450}{3.14}} \approx \sqrt{143.36} \approx 11.97 \text{ m} \]
The diameter \( d \) of the circle is twice the radius:
\[ d = 2r \approx 2 \times 11.97 \approx 23.94 \text{ m} \]
Rounding to the nearest meter, the diameter is approximately:
\[ d \approx 24 \text{ m} \]
Thus, the correct response is:
24 m.