Posted by jack on Monday, June 17, 2013 at 2:56pm.
ABCD is a square. Γ1 is a circle that circumscribes ABCD (i.e. Γ1 passes through points A,B,C and D). Γ2 is a circle that is inscribed in ABCD (i.e. Γ2 is tangential to sides AB,BC,CD and DA). If the area of Γ1 is 100, what is the area of Γ2?

math  Rahul, Tuesday, June 18, 2013 at 5:22am
50
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