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theleangreenbean

Equations of Circles

Generally, you'd see the equation of a circle organized in the following format:

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

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

To determine the equation given the center and the radius:

  1. Plug both pieces of information into the general equation
  2. Simplify

Solving the Question

We're given:

  • Radius: 99
  • Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

[tex](x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801[/tex]

Answer

[tex](x+1)^2+(y+8)^2=9801[/tex]

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