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(A) rhombus is a quadrilateral with all sides equal. If a rhombus is inscribed in a circle,all its vertices lie on the circumference of the circle. $A

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a square

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(A) rhombus is a quadrilateral with all sides equal. If a rhombus is inscribed in a circle,all its vertices lie on the circumference of the circle. $A$ quadrilateral inscribed in a circle is called a cyclic quadrilateral. In a cyclic quadrilateral,the sum of opposite angles is $180^{\circ}$. For a rhombus $ABCD$,the opposite angles are equal,i.e.,$\angle A = \angle C$ and $\angle B = \angle D$. Since $\angle A + \angle C = 180^{\circ}$,we have $2\angle A = 180^{\circ}$,which implies $\angle A = 90^{\circ}$. $A$ rhombus with an angle of $90^{\circ}$ is a square. Therefore,the rhombus $ABCD$ must be a square.

If a rhombus $ABCD$ is inscribed in a circle with center $O$ and radius $r$,then the rhombus $ABCD$ is $\ldots \ldots$

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