borsita borsita
  • 18-01-2022
  • Mathematics
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805 degrees to radians in terms of pi

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jdoe0001 jdoe0001
  • 18-01-2022

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

[tex]\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\frac{17}{36}\pi[/tex]

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