Respuesta :

the answer is 8π radians

Answer:

The angle the minute hand travels in 4 full rotations is [tex]8\ pi\ radians[/tex]

Step-by-step explanation:

We know that one complete rotation is given by :

[tex]1\ rotation=1\ hour[/tex]

and [tex]1\ hour=60\ minutes=2\ \pi[/tex]    

So, [tex]1\ rotation=2\ \pi[/tex]

Using unitary method we can find the minute hand travel in 4 rotations.

[tex]\because 1\ rotation=2\ \pi\ radians[/tex]

So,  [tex]4\ rotation=8\ \pi\ radians[/tex]

Hence, this is the required solution.