Inscribed and Circumscribed Circles

Geometry Level 2

ABCDABCD is a square. Γ1\Gamma_1 is a circle that circumscribes ABCDABCD (i.e. Γ1\Gamma_1 passes through points A,B,CA, B, C and DD). Γ2\Gamma_2 is a circle that is inscribed in ABCDABCD (i.e. Γ2\Gamma_2 is tangential to sides AB,BC,CDAB, BC, CD and DADA). If the area of Γ1\Gamma_1 is 100 100, what is the area of Γ2\Gamma_2?

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