College Algebra CLEP Prep Practice Exam

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Which of the following is the equation of a circle with a center at (3,4) and a radius of 5?

  1. (x - 3)2 + (y - 4)2 = 25

  2. (x + 3)2 + (y + 4)2 = 25

  3. (x - 3)2 + (y + 4)2 = 25

  4. (x + 3)2 + (y - 4)2 = 25

The correct answer is: (x + 3)2 + (y - 4)2 = 25

A. This equation has the center at (-3,-4) and a radius of 5, not at (3,4). B. This equation has the center at (-3,-4) and a radius of 5, not at (3,4). C. This equation has the center at (-3,4) and a radius of 5, not at (3,4). The equation for a circle with a center at (3,4) and a radius of 5 must have the form (x - h)2 + (y - k)2 = r2, where (h,k) is the center and r is the radius. Therefore, the correct equation is (x + 3)2 + (y - 4)2 = 25. It is important to note that the signs for h and k correspond to the signs

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