A dentist is examining a dental filling in a patient's mouth. The diameter of the filling is 2.0 mm, and the dentist's near point is 22.0 cm. To get a better look at the filling, the dentist dons safety goggles fitted with magnifying glasses (f = 7.3 cm). Find the greatest possible angular size (in radians) of the patient's filling when viewed by the dentist, both (a) without and (b) with the magnifying glasses.

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