The minute hand on a watch is 4 mm long and the hour hand is 3 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)

minute hand = a

hour hand = b

distance between a and b = c

I know that I am looking for dc/dt

I know that the angle between the hands, O, at 1:00 is 30 degrees

I know that by using the law of cosines c = sqrt(25-12sqrt(3))

I know da/dt = 2pi radians/hr and db/dt = pi/6 radians/hr

so dO/dt = -11pi/6 radians/hr

I have this much figured out but I don't know how to relate dO/dt to dc/dt, the instantaneous rate of change of c, which is what the question asks for. Could someone give me a hint as to how I should relate the information I have and what I need?