College Math CLEP Prep Practice Exam

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What is the equation of a circle if the center is (-7,2) and the radius is 4?

(x+7)^2 + (y-2)^2 = 4
(x-7)^2 + (y+2)^2 = 4
(x+7)^2 + (y+2)^2 = 4
(x-7)^2 + (y-2)^2 = 4

The correct answer is: (x-7)^2 + (y-2)^2 = 4

The center of the circle is (-7,2) which means that the x-coordinate has to be subtracted and the y-coordinate has to be added in the equation of a circle. Option A and B are incorrect because they either incorrectly use addition for both coordinates or subtraction for both coordinates. Option C is incorrect because it incorrectly uses addition for the x-coordinate instead of subtraction. The correct equation, option D, subtracts the x-coordinate and subtracts the y-coordinate.