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Product in a Circle (Posted on 2013-03-09) Difficulty: 3 of 5
Suppose ABCD is a cyclic quadrilateral inscribed in a circle of radius one unit. If AB * BC * CD * DA >= 4, prove that ABCD is a square and in fact that the equality holds rather than the inequality as the product never exceeds 4.

No Solution Yet Submitted by Danish Ahmed Khan    
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