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The equation (x - h)^2 + (y - k)^2 = r^2? defines a circle with radius r and center (h, k). Find the center and radius AND graph the circle on the x-y coordinate plane. (x - 1)2 +(y + 3)2 = 25.​

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Answer:

  • center: (1, -3)
  • radius: 5

Explanation:

Comparing the two given equations, we see ...

h = 1

k = -3

r = √25 = 5

The center is (1, -3), and the radius is 5.

The equation (x - h)^2 + (y - k)^2 = r^2? defines a circle with radius r and center-example-1
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