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What is the equation of a circle if the center is (4,2) and the radius is 3?

  1. (x - 4)2 + (y-2)2 = 9

  2. (x - 4)2 + (y+2)2 = 9

  3. (x + 4)2 + (y-2)2 = 9

  4. (x + 4)2 + (y+2)2 = 9

The correct answer is: (x - 4)2 + (y-2)2 = 9

For a circle with center (h,k) and radius r, the equation is (x-h)^2 + (y-k)^2 = r^2. Since the center of this circle is (4,2) and the radius is 3, the equation becomes (x-4)^2 + (y-2)^2 = 9. Option A is the only one that follows this equation, making it the correct answer. Options B, C, and D all have incorrect signs in front of the y term, which would result in a different circle with a different center point.