9514 1404 393
Answer:
12 11/24 radians (combined angular motion)
Step-by-step explanation:
In one hour, the combined angular motion is ...
(2π)(1 +1/12) = 13π/6 radians
Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...
(23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians
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<em>Additional comment</em>
Maybe you're asking for the separate motions.
minute hand: 2π×5.75 = 11.5π radians
hour hand: (π/6)×5.75 = 23π/24 radians
