Respuesta :

Step-by-step explanation:

π radian = 180°

3π/2= 180°×3π/2π

[tex] = \frac{3\pi}{2} \times \frac{180}{\pi} = 270degrees[/tex]

So when you want to find converting radians to degrees, you multiply by the ratio of 180/π. Now remember, you want to get rid of π because we want a degree and we don't want a degree in terms of π.

So we have [tex](\frac{3\pi}{2})(\frac{180}{\pi })[/tex].

Notice that the π's cancel out so I am left with [tex]\frac{(3) (180)}{2}[/tex].

Simplifying from here we get 270°