College Algebra CLEP Prep Practice Exam

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What is the equation of the circle with center at (-2,4) and a diameter of 10?

(x + 5)^2 + (y -2)^2 = 100
(x - 2)^2 + (y + 5)^2 = 100
(x + 2)^2 + (y - 5)^2 = 100
(x – 5)^2 + (y + 2)^2 = 100

The correct answer is: (x + 2)^2 + (y - 5)^2 = 100

A This equation has the incorrect coordinates for the center and the wrong diameter value. B: This equation has the incorrect coordinates for the center and the wrong diameter value. D: This equation has the incorrect coordinates for the center and the wrong diameter value. The equation of a circle with center (h,k) and a diameter of d is (x-h)^2 + (y-k)^2 = (d/2)^2. Therefore, the correct equation in this case would be (x+2)^2 + (y-4)^2 = 25. The x-coordinate of the center is -2, so we need to add 2 to get (x+2). The y-coordinate of the center is 4, so we need to subtract 4 to get (x-4). And the diameter is given as 10, so we divide it by 2 to