Question #N611
A circle in the xy-plane has center (2, -3) and radius 5. Which of the following is an equation for 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: D
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 values from the problem gives us (x - 2)^2 + (y + 3)^2 = 5^2, which simplifies to (x - 2)^2 + (y + 3)^2 = 25.