let r = radius, Area = [r^2 x 3^(1/2)]/4
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If I understand your question correctly, you would need to subtract the area of the inscribed circle from the circumscribed circle. Which would approximately be 78.60cm squared.
To circumscribed a circle about a triangle you use the angle. This is to get the right measurements.
You cannot circumscribe a "true rhombus". The opposite angles of a circumscribed quadrilateral must be supplementary whereas the opposite angles of a rhombus must be equal. That means a circumscribed rhombus is really a square.
rectangle
No.No.No.No.