To find 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 formula to solve for the radius:
\[ r = \sqrt{\frac{A}{\pi}} \]
Substituting the given area of \( 372 , \text{cm}^2 \):
\[ r = \sqrt{\frac{372}{\pi}} \]
Using \( \pi \approx 3.14 \):
\[ r = \sqrt{\frac{372}{3.14}} \approx \sqrt{118.086} \approx 10.86 , \text{cm} \]
The diameter \( d \) is twice the radius:
\[ d = 2r \approx 2 \times 10.86 \approx 21.72 , \text{cm} \]
Rounding to the nearest whole number gives:
\[ d \approx 22 , \text{cm} \]
So, the length of the diameter is approximately 22 cm.