The first thing you should keep in mind is that the watch can be modeled as a circle.
The full angle of a circle is equal to 360 degrees.
Therefore, for 1/3 of the circle we have:
[tex](\frac{1}{3}) * (360) = 120[/tex]
Then, we have the following conversion:
π radians = 180 degrees
Applying the conversion we have:
[tex](120) * (\frac{\pi }{180} ) = (\frac{2}{3} ) \pi[/tex]
Answer:
The movement of the clock hand in degrees and radians is:
Degrees = 120
Radians = [tex](\frac{2}{3} ) \pi[/tex]
