guerreroariana6 guerreroariana6
  • 21-05-2018
  • Mathematics
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convert 153 degrees into radians to the nearest to decimals places

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jdoe0001 jdoe0001
  • 21-05-2018
since we know there are π radians in 180°, then how many radians are there in 153°?

[tex]\bf \begin{array}{ccll} radians&de grees\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \pi &180\\ x&153 \end{array}\implies \cfrac{\pi }{x}=\cfrac{180}{153}\implies \cfrac{\pi \cdot 153}{180}=x\implies \stackrel{simplified}{\cfrac{17\pi }{20}}=x[/tex]
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