Sure, to find the diameter of a circular field given its circumference, we can use the relationship between the circumference and the diameter.
The formula for the circumference [tex]\( C \)[/tex] of a circle is given by:
[tex]\[ C = \pi \times D \][/tex]
where [tex]\( \pi \)[/tex] (pi) is approximately 3.14159 and [tex]\( D \)[/tex] is the diameter of the circle.
Given the circumference [tex]\( C = 132 \)[/tex] meters, we need to solve for the diameter [tex]\( D \)[/tex]. Rearranging the formula to solve for [tex]\( D \)[/tex]:
[tex]\[ D = \frac{C}{\pi} \][/tex]
Now, plugging in the given circumference:
[tex]\[ D = \frac{132}{\pi} \][/tex]
Solving this, we get:
[tex]\[ D \approx 42.01690497626037 \][/tex]
Therefore, the diameter of the circular field is approximately 42.0169 meters.
