If area of circular field is $X$ sq. unit, perimeter is $Y$ unit and length of diameter is $Z$ unit then the value of $\frac{X}{YZ}$ is

Let the radius of the circular field be $r$. Then:
* Area, $X=\pi r^2$
* Perimeter (Circumference), $Y=2\pi r$
* Diameter, $Z=2r$

Now, substitute these expressions into the given expression $\frac{X}{YZ}$:

$$\frac{X}{YZ}=\frac{\pi r^2}{(2\pi r)\times (2r)}=\frac{\pi r^2}{4\pi r^2}=\frac{1}{4}$$