Question

How do you convert from radians to degrees?
3/4 pi

Answer 1

well, since we know there are 180° in π radians, let's use that

`\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\[1em] x&(3)/(4)\pi \end{array}\implies \cfrac{180}{x}~~ = ~~\cfrac{\pi }{~~ (3\pi )/(4 ) ~~}\implies \cfrac{180}{x}=\cfrac{4\pi }{3\pi }\implies \cfrac{180}{x}=\cfrac{4}{3} \\\\\\ 540=4x\implies \cfrac{540}{4}=x\implies 135=x`