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what is the equation of the circle standard form that satisfies the given condition: center is (2,-4) and the radius is 17?​

Sagot :

[tex] \color{lime} \underline \mathbb{QUESTION: }[/tex]

what is the equation of the circle standard form that satisfies the given condition: center is (2,-4) and the radius is 17?

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Ok, you were finding the equation of the circle from the given center and radius. Here is the solution:

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Standard form of the circle:

  • (x - h)² + (y - k)² = r²

Where,

  • (h, k) is the center and;
  • r is the radius

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  • (2, -4), r = 17
  • (x - 2)² + (y + 4)² = 17²
  • (x - 2)² + (y + 4)² = 289

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[tex] \color{yellow} \underline \mathbb{ANSWER : }[/tex]

Therefore, the equation of the circle is

  • (x - 2)² + (y + 4)² = 289.

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[tex] \color{aqua} \sf{JindySkite} [/tex]☺️