Data Sufficiency (DS) | If the quadrilateral PQRS can be completely inscribed in a circle C

Information from Question: Since PR passes through center of the circle, PR is the diameter of the circle and Q and S are right angles (angles in semicircles are right angles).

Information from the first statement: Since PR is known, diameter of circle is known. Also, PQ=QR, implying that angle QPR = angle QRP = 45 degrees. Hence, area of triangle PQR is known. No information is given about triangle PSR. Hence, statement (1) is not sufficient.

Information from the second statement: Length of
...

---