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17.1 equation of a circle evaluate homework and practice answer key

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The evaluation using the equation of circle for the practice question is (x - 4)² + (y + 11)² = 256

What is the equation of the Circle Distance Formula?

With respect to the distance formula, a point location in space (x,y) at a distance (r) from the origin is valid if [tex]\mathbf{\sqrt{x^2 + y^2} = r}[/tex]. Hence this refers to the equation of the circle centered at the origin.

For Conic Sections:

  • [tex]\mathbf{(x-h)^2 (y-k)^2 = r }[/tex]

where;

  • center = (h,k)
  • radius = r

Let's assume we have a circle with C(4,-11) and radius r = 16;

Then, we have:

(x-h)² +(y -k)² = r²

(x-4)² + (y - (-11))² = 16²

(x - 4)² + (y + 11)² = 256

Learn more about equation of circles here;
https://brainly.com/question/24810873

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