EliRodriguez1223 EliRodriguez1223
  • 16-08-2017
  • Mathematics
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How do you convert 3.14/9 into radians

How do you convert 3149 into radians class=

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apologiabiology
apologiabiology apologiabiology
  • 16-08-2017
radians are in pi format

360 degrees=2pi radians

x/360=y/2pi
x/180=y/pi
if we wanted to convert from radians to degrees then
if we had x radians then [tex]\frac{180x}{\pi}[/tex]=degrees

so pi/9 radians is [tex]\frac{180(\frac{\pi}{9})}{\pi}=\frac{20\pi}{\pi}=20^o[/tex]
20 degrees is pi/9 radians

the other one is easy as well

-5pi/12
[tex]\frac{180(\frac{-5\pi}{12})}{\pi}=\frac{75\pi}{\pi}=-75^o[/tex]
-75 degrees or 360-75=285 degrees
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