College Algebra CLEP Practice Exam 2025 – Complete Exam Prep

Question: 1 / 410

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

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.

Get further explanation with Examzify DeepDiveBeta

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

(x + 2)2 − (y - 5)2 = 4

(x + 2)2 − (y - 5)2 = 16

Next Question

Report this question

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy