A tangent to the ellipse x²/9 + y²/2 = 1 intersects the circle x² + y² = 9 at the points P and Q. It is known that R is a point on the circle x²+ y² = 9. Each of P, Q and R are located above the x-axis.

For example, the coordinates of R cannot be (3,0), since (3,0) is not located above the x axis.

Determine the maximum area of the triangle PQR.