College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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What is the equation of the circle with a radius of 5 units and a center at (-3,6)?

(x+ 3)2 + (y - 6)2 = 25
(x+ 3)2 + (y + 6)2 = 25
(x- 3)2 + (y - 6)2 = 25
(x-3)2 + (y + 6)2 = 25

The correct answer is: (x- 3)2 + (y - 6)2 = 25

The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. In this question, the center is given as (-3,6) which means h = -3 and k = 6. Plugging in these values into the equation, we get (x - (-3))^2 + (y - 6)^2 = 5^2 or (x + 3)^2 + (y - 6)^2 = 25. This eliminates choices A and B. Choice D also has the correct center point, but the sign for the y-coordinate is incorrect. It should be (y - 6)^2 instead of (y + 6)^2. Therefore, the correct answer is C.