A dentist is examining a dental filling in a patient's tooth. The diameter of the filling is 2.4 mm, and the dentist's near point is 17.0 cm. To get a better look at the filling, the dentist dons safety goggles fitted with magnifying glasses (f = 6.0 cm). Find the greatest possible angular size (in radians) of the patient's filling when viewed by the dentist, both
(a) Without
(b) With the magnifying glasses.