# 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 $$\Gamma_2$$?

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