The smaller circle touches the bigger circle and also its perpendicular diameters. If the radius of the smaller circle is 2 cm, find the radius of the bigger circle.
OM = 2cm and O'M = 2cm so OO' = 2sqrt(2) cm. O'P = 2cm, so radius of large circle = OO' + O'P = 2(1+sqrt(2))cm.
