In the given figure, a circle is inscribed in a quadrilateral \(ABCD\) in which \(\angle B = 90^\circ\). If \(AD =17  \ cm\), \(AB = 25 \ cm\) and \(DS =3  \ cm\), then evaluate the radius of the circle. 
 
YCIND_240830_6544_A_5.png
 
In quadrilateral \(OPBQ\), 
 
\(BQ=\)
 
\(OQ=\)
 
All the angles in the quadrilateral \(OPBQ\) is \(^\circ\)
 
Thus, the quadrilateral \(OPBQ\) is a  
 
Hence, radius \(=\) \(cm\)