Question

What is 5pi/6 radians concerted to degrees? if necessary, round your answer to the nearest degree

Answer 1

Answer:

$\frac{5\pi }{6}\texttt{ radian =}150\texttt{ degrees}$

Step-by-step explanation:

We know

            2π radians = 360 °

               1 radian = $=\frac{360}{2\pi }=\frac{180}{\pi }$

Here we are asked to convert $\frac{5\pi }{6}$ radiands to degrees.

         $\texttt{ 1 radian = }\frac{180}{\pi } \texttt{ degrees}\\\\\frac{5\pi }{6}\texttt{ radian =}\frac{5\pi }{6}\times \frac{180}{\pi } \texttt{ degrees}\\\\\frac{5\pi }{6}\texttt{ radian =}150\texttt{ degrees}$

   

Answer 2

150 degrees. Look up the unit circle for more help on problems like these☺️!!