Question

805 degrees to radians in terms of pi

Answer 1

we know that there are 180° in π radians, so then, how many in 805°?

`\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ 805&x \end{array}\implies \cfrac{180}{805}=\cfrac{\pi }{x}\implies \cfrac{36}{161}=\cfrac{\pi }{x} \\\\\\ 36x=161\pi \implies x=\cfrac{161\pi }{36}\implies x = 4(17)/(36)\pi`