mariaflores822 mariaflores822
  • 22-07-2017
  • Mathematics
contestada

what is the measures in degrees and radians of the angle representing 7-8th of a circle

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titanic360ot007q titanic360ot007q
  • 22-07-2017
That would be 315 degrees, and the radian is 7π/4
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jdoe0001 jdoe0001
  • 22-07-2017
[tex]\bf \textit{a circle has a total of }2\pi \textit{ radians and }360\textit{ degrees} \\\\\\ \textit{how much is }\frac{7}{8}\textit{ of each?}\\\\ -------------------------------\\\\ 2\pi \cdot \cfrac{7}{8}\implies \cfrac{14\pi }{8}\implies \cfrac{7\pi }{4}\ radians \\\\\\ 360\cdot \cfrac{7}{8}\implies \cfrac{360\cdot 7}{8}\implies \cfrac{2520}{8}\implies 315^o[/tex]
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