Solution

$$104^{\circ} 30' = 104^{\circ} + \dfrac{36^{\circ}}{60} $$ $$ = 104^{\circ} + \dfrac{3^{\circ}}{5} $$ $$ = \dfrac{523}{5} $$ degrees $$ \because $$ $$180^{\circ} = \pi $$ radians $$ \Rightarrow $$ $$ 1 ^{\circ} = \dfrac{\pi}{180} $$ radians $$ \therefore\ \dfrac{523}{5} $$ degrees $$ = \dfrac{\pi}{180} \times \dfrac{523}{5} $$ radians $$ = \dfrac{523 \pi}{900} $$ radians