ashleylopez2002 ashleylopez2002
  • 19-04-2018
  • Mathematics
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what is the exact radian measure of an angle of 132

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jdoe0001 jdoe0001
  • 19-04-2018
since we know that in π radians there are 180°, thus how many radians in 132°?

[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ 132&x \end{array}\implies \cfrac{180}{132}=\cfrac{\pi }{x}\implies x=\cfrac{132\cdot \pi }{180}\implies \stackrel{simplified}{\cfrac{11\pi }{15}}[/tex]
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