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  • 25-09-2018
  • Mathematics
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What is the radius for the circle given by the equation? 

What is the radius for the circle given by the equation class=

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gmany
gmany gmany
  • 25-09-2018

Use:

[tex](a-b)^2=a^2-2ab+b^2\qquad(*)[/tex]

[tex]x^2+y^2-6y-12=0\ \ \ \ |+12\\\\x^2+y^2-6y=12\\\\x^2+y^2-2y\cdot3=12\ \ \ \ |+3^2\\\\x^2+\underbrace{y^2-2\cdot y\cdot3+3^2}_{(*)}=12+3^2\\\\x^2+(y-3)^2=21\\\\\boxed{k=3}[/tex]

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