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Find the equation of the circle with center at (4,-3) and a radius of 7.

  1. (x + 11)^2 + (y + 10)^2 = 49

  2. (x + 7)^2 + (y + 10)^2 = 49

  3. (x + 4)^2 + (y - 10)^2 = 49

  4. (x - 11)^2 + (y + 3)^2 = 49

The correct answer is: (x + 11)^2 + (y + 10)^2 = 49

The other options incorrectly use the wrong center coordinates or change the radius, resulting in incorrect equations that do not represent a circle with the given center and radius. Option B incorrectly uses (7,10) as the center instead of (4,-3), while option C changes the radius to 10 instead of 7. Option D uses the negative of the correct x-coordinate for the center and also changes the radius. The equation in option A is the only one that correctly represents a circle with the given center and radius.