You can't. The angle measure doesn't tell you the area.
You could have one rhombus drawn on the head of a pin, and another one
drawn on a parking lot, and both have the same angles.
If two of them have the same angles, then they're similar, but their areas
could be anything.
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The answer depends on the measure of WHAT! Side length, angles, length of diagonals, area? And the answers to these depend on what information is given.
You find the arc measure and then you divide it in half to find the inscribed angle
It is found by: (sector area/entire circle area) times 360 in degrees
A square is a rhombus with right angles so you would need to know one of the angles or an exterior angle or another angle that shares a vertex with the shape.