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Possible areas of ABCD - OIMU 1998 Problem 4

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September 12, 2010
geometryrhombusperpendicular bisectorgeometry unsolved

Problem Statement

Four circles of radius 11 with centers A,B,C,DA,B,C,D are in the plane in such a way that each circle is tangent to two others. A fifth circle passes through the center of two of the circles and is tangent to the other two. Find the possible values of the area of the quadrilateral ABCDABCD.
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