Question #N260

A circle with a radius of 5 units is centered at the point (2, 3). What is the equation of this circle?
A. (x - 2)^2 + (y - 3)^2 = 25
B. (x + 2)^2 + (y + 3)^2 = 5
C. (x - 2)^2 + (y - 3)^2 = 5
D. (x + 2)^2 + (y + 3)^2 = 25

Correct Answer is: A

The standard form of the equation of a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. Substituting the given values, we get (x - 2)^2 + (y - 3)^2 = 5^2, or (x - 2)^2 + (y - 3)^2 = 25.