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Enter the equation of the circle with the given center and radius.
Center. (0,7); radius: 9
The equation of the circle is
?

Sagot :

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Equation of a Circle

Equations of circles are typically organized in the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

  • [tex](h,k)[/tex] is the center
  • [tex]r[/tex] is the radius

Solving the Question

We're given:

  • Center: (0,7)
  • Radius length: 9 units

Plug the given information into [tex](x-h)^2+(y-k)^2=r^2[/tex]:

[tex](x-0)^2+(y-7)^2=9^2[/tex]

[tex]x^2+(y-7)^2=81[/tex]

Answer

[tex]x^2+(y-7)^2=81[/tex]

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