BrightBrian BrightBrian
  • 06-07-2020
  • Mathematics
contestada

Find the equation of the circle. With center at (-3, 1) and point on the circle= (5, -3).

Find the equation of the circle With center at 3 1 and point on the circle 5 3 class=

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Space
Space Space
  • 06-07-2020

Answer:

(x + 3)² + (y - 1)² = 80

Step-by-step explanation:

Circle equation: (x - h)² + (y - k)² = r²

We are given h and k, so we just plug that in:

(x + 3)² + (y - 1)² = r²

To find r, we need to use distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex] between the center of the circle and the point on the circle. We should get √80 as r. We plug that in to get our answer:

(x + 3)² + (y - 1)² = 80

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