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The center of the circle is located (3'8), and the circle has a radius that is 5 units long. What is the general form of the equation for the circle

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Answer:

  x² +y² -6x -16y +48 = 0

Step-by-step explanation:

Given:

  • circle center: (3, 8)
  • circle radius: 5

Find:

  general form equation for the circle

Solution;

The standard form equation for the circle is ...

  (x -h)² +(y -k)² = r² . . . . . circle with radius r centered at (h, k)

  (x -3)² +(y -8)² = 5²

Subtracting 25 and expanding this will give the general form.

  x² -6x +9 +y² -16y +64 -25 = 0

  x² +y² -6x -16y +48 = 0

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Additional comment

"General form" of an equation is usually the form f(x,y) = 0, where f(x, y) is written in "standard form," with terms in lexicographical order and decreasing degree.

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