College Math CLEP Prep Practice Exam

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What is the circle's radius of the equation (x-3)^2 + (y+4)^2 = 25?

The correct answer is: 5

The radius of a circle is the distance from the center of the circle to any point on the circle's circumference. In this equation, the center is at (3, -4) and the radius is represented by 5 in the equation (x-3)^2 + (y+4)^2 = 25, as 5^2 = 25. All of the other options are incorrect as they do not represent the radius of the circle or are not in the correct form to determine the radius. Option A, 3, is simply the x-coordinate of the center. Option B, 4, is the negative of the y-coordinate of the center. Option D, 6, does not make sense in relation to the given equation (25 does not equal (6)^2). Therefore, option C, 5, is the only correct answer for the circle's radius in