College Algebra CLEP Prep Practice Exam

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What is the equation of a circle with a radius of 4 and a center at (-2, 5)?

(x + 2)2 + (y - 5)2 = 16
(x + 2)2 + (y - 5)2 = 4
(x + 2)2 − (y - 5)2 = 4
(x + 2)2 − (y - 5)2 = 16

The correct answer is: (x + 2)2 + (y - 5)2 = 16

A. This is the correct equation of a circle with a radius of 4 and a center at (-2, 5). The equation represents the Pythagorean theorem format for a circle, with the squared values of (x + 2) and (y - 5) representing the distance from the center to a point on the circle. The radius of 4 is then squared to give the equation of the circle, with a value of 16. B. This equation is incorrect because it does not account for the radius of 4. Instead, it has a radius of 2, which is not equal to the given radius of the circle. C. This equation is incorrect because it subtracts the squared value of (y - 5) instead of adding it. The Pythagorean theorem format for a circle should only include addition, not subtraction.