AC Swing Impedance

Let $Z = \large{\frac{V}{I}}$ . This is the apparent impedance looking to the right of the green dots. For $\theta$ in the range $(0 \leq \theta < 2 \pi)$ , make a two-dimensional plot of the locus of $Z$ , with the real part of $Z$ on the horizontal axis, and the imaginary part of $Z$ on the vertical axis.

What is the area enclosed by the resulting curve?

Note: The variable angle $\theta$ is the angle of the source on the left