Respuesta :

1 full rotation is 2pi, or 360 degrees. 
3.5 times either of those gives you 7pi, or 1260 degrees. Since you going counterclockwise already, you don't have to bother with negative signs. 

7pi, or 1260 degrees.

The angle represents by 3.5 rotations in counterclockwise is 1260 degree or [tex]\frac{7}{2}\pi[/tex] radian.

In one complete rotation, the angle made is = 360 degree or [tex]\pi[/tex] radian

So, In 3.5 rotation, angle made is, = [tex]360*3.5=1260[/tex] degree

       Or,                                                   =  [tex]3.5*\pi=\frac{7}{2}\pi[/tex] radian

Therefore, The angle represents by 3.5 rotations in counterclockwise is 1260 degree or  [tex]\frac{7}{2}\pi[/tex] radian.

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