emicrowe21
emicrowe21 emicrowe21
  • 21-11-2021
  • Mathematics
contestada

Write the equation of the circle centered at (10, – 4) that passes through (14, 12).

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sqdancefan
sqdancefan sqdancefan
  • 22-11-2021

Answer:

  (x -10)² +(y +4)² = 272

Step-by-step explanation:

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

  (x -h)² +(y -k)² = r²

The center is given as (h, k) = (10, -4). We can find the value of r² using the "passes through" point coordinates:

  (14 -10)² +(12 -(-4))² = r² = 16 +256 = 272

Then for the given center and the value of r² we found, the equation is ...

  (x -10)² +(y +4)² = 272

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