Inscribed and Circumscribed Circles

Geometry Level 2

$ABCD$ is a square. $\Gamma_1$ is a circle that circumscribes $ABCD$ (i.e. $\Gamma_1$ passes through points $A, B, C$ and $D$ ). $\Gamma_2$ is a circle that is inscribed in $ABCD$ (i.e. $\Gamma_2$ is tangential to sides $AB, BC, CD$ and $DA$ ). If the area of $\Gamma_1$ is $100$ , what is the area of $\Gamma_2$ ?