awickersham98 awickersham98
  • 25-05-2022
  • Mathematics
contestada

A circle is centered at (−4, 9) and has a radius of 11.

What is the equation of the circle?

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sqdancefan
sqdancefan sqdancefan
  • 26-05-2022

Answer:

  (x +4)² +(y -9)² = 121

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

We are given that (h, k) = (-4, 9) and r = 11. When we put these values into the equation, it becomes ...

  (x -(-4))² +(y -9)² = 11²

We can simplify this a bit to ...

  (x +4)² +(y -9)² = 121

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