  In this work we obtain presentations of fundamental groups of the complements
of three families of quadric arrangements in $\mathbb{P}^2$. The first
arrangement is a union of $n$ quadrics, which are tangent to each other at two
common points. The second arrangement is composed of $n$ quadrics which are
tangent to each other at one common point. The third arrangement is composed of
$n$ quadrics, $n-1$ of them are tangent to the $n$'th one and each one of the
$n-1$ quadrics is transversal to the other $n-2$ ones.
