Can an rhombus always be inscribed in a circle?

Question

Can an rhombus always be inscribed in a circle?

I know that the answer is yes but I am just not sure how to explain it. If someone could provide an explanation that would be amazing.

Answer 1

Not any rhombus can be inscribed in a circle. Only a rhombus that has four 90º angles, in other words, a square.

In general a rhombus has two diagonals that are not equal (except a square) and therefore the endpoints of the shorter diagonal would not be points on the circle. Unless the rhombus is a square, it can't be inscribed in a circle. In general a rhombus cannot be inscribed in a circle except for the special case of a square.