Respuesta :
Answer:
[tex]\frac{5\pi }{6}\texttt{ radian =}150\texttt{ degrees}[/tex]
Step-by-step explanation:
We know
2π radians = 360 °
1 radian = [tex]=\frac{360}{2\pi }=\frac{180}{\pi }[/tex]
Here we are asked to convert [tex]\frac{5\pi }{6}[/tex] radiands to degrees.
[tex]\texttt{ 1 radian = }\frac{180}{\pi } \texttt{ degrees}\\\\\frac{5\pi }{6}\texttt{ radian =}\frac{5\pi }{6}\times \frac{180}{\pi } \texttt{ degrees}\\\\\frac{5\pi }{6}\texttt{ radian =}150\texttt{ degrees}[/tex]