2000 AIME II Problem 10

A circle is inscribed in quadrilateral ABCD, tangent to \overline{AB} at P and to \overline{CD} at Q. Given that AP=19, PB=26, CQ=37, and QD=23, find the square of the radius of the circle.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.