A quadrilateral \(ABCD\) is circumscribed about a circle as shown in the figure. The circle touches the sides at \(P\), \(Q\), \(R\) and \(S\). Given that \(\angle DAB = 90^\circ\), \(CR = 23\ cm\), \(BC = 35\ cm\), and the radius of the circle is \(13\ cm\). Determine the length of side \(AB\).
 
circle session III q6.png
 
The length of \(AB=\)\(cm\).