Math CentralQuandaries & Queries


Question from Marisa, a student:

I know that the only rhombus that can be inscribed in a circle is a square, but why is that? I've been racking my brain and the internet for solutions, but have found no logical explanations in relation to the arc degrees and angles. Please help.


The opposite angles of a cyclic quadrilateral must add up to 180 degrees.

What do you know about the opposite angles of a rhombus?


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