In the figure below, two circles are shown. The diameters of the circles
are *AD* and *AE* and *O* is the center of the larger
circle. The lines *OC* and *OE* are
perpendicular. The intersection of the smaller circle and *OC* is
*B* and the intersection of the smaller circle and *OE* is
*D*. If the length of *BC* is 6 and the length of *DE* is
10, what are the radii of the two circles?