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  • 31-05-2018
  • Mathematics
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A bicycle is drawn on grid such that th front tire is represented by the equation (x-16)^2 + y^2=9 . what is the tires diameter ?

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gmany
gmany gmany
  • 31-05-2018
[tex]\text{The standard form of the circle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\\text{h and k are the x and y coordinates of the center}\\\text{r the radius}\\\\\text{we have}\\\\(x-16)^2+y^2=9\\\\r^2=9\to r=\sqrt9\to r=3[/tex]
[tex]\text{The diameter d is equal 2r. Therefore}\\\\d=2\cdot3=6[/tex]


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