What are the centre and radius of the circle (x - 3)^2 + (y - 3)^2 = 4?

Answer and explanation

Correct answer: A. centre (3, 3), radius 2

  1. Step 1: A circle (x - h)^2 + (y - k)^2 = r^2 has centre (h, k) and radius r. Step 2. Here h = 3, k = 3 and r^2 = 4, so r = 2. Answer: centre (3, 3), radius 2. Why not the others: centre (-3, -3), radius 2: The signs of the centre are reversed. centre (3, 3), radius 4: The right-hand side is the radius squared, so the radius is its square root. centre (3, 3), radius 3: The radius is the square root of 4, which is 2.

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