cupcakkes17e cupcakkes17e
  • 05-08-2018
  • Mathematics
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convert the degree measurement to radians Express answer multiples of Pi 126°

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jdoe0001 jdoe0001
  • 05-08-2018

we know that there are 180° in π radians, so how many radians are there in 126°?

[tex] \bf \begin{array}{ccll}
degrees&radians\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
180&\pi \\
126&x
\end{array}\implies \cfrac{180}{126}=\cfrac{\pi }{x}\implies x=\cfrac{126\pi }{180}\implies \stackrel{simplified}{x=\cfrac{7\pi }{10}} [/tex]

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