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Answer :

Theleangreenbeango

Circular Equations

Circular equations are typically organized in the following format:

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

  • (h,k) is the center of the circle
  • r is the radius

Solving the Question

We're given:

  • The center of the circle: (-4,-7)
  • The radius: 2 units

Plug these given values into the formula:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-4))^2+(y-(-7))^2=2^2\\(x+4)^2+(y+7)^2=2^2\\(x+4)^2+(y+7)^2=4[/tex]

Answer

[tex](x+4)^2+(y+7)^2=4[/tex]

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