Question

Write the measure in degrees 11pi/6

Answer 1

well, we know that π is 180°, so what's 11π/6?

`\begin{array}{ccll} radians&degrees\\ \cline{1-2} \pi &180\\\\ (11\pi )/(6)&x \end{array}\implies \cfrac{\pi }{ ~~ (11\pi )/(6) ~~ }~~ = ~~\cfrac{180}{x}\implies \cfrac{ ~~ (\pi)/(1) ~~ }{(11\pi )/(6)}~~ = ~~\cfrac{180}{x} \\\\\\ \cfrac{6\pi }{11\pi }=\cfrac{180}{x}\implies \cfrac{6 }{11 }=\cfrac{180}{x}\implies 6x=1980\implies x=\cfrac{1980}{6}\implies x=330`