Section $1$

A circle $(r,c)$ is defined by its center $c$ and its radius $r.$ Look at the following classifiers family:

$H=\{h_{r,c}$:rinR,$cin{R}^2\}$ where $h_{r,c}(x)=1$ iff $x$ inside the circle $(r,c)$

Find the VCdim of this class with full proof.