Question #N353
The equation $(x+2)^2 + (y-3)^2 = 25$ represents a circle in the xy-plane. What is the radius of the circle?
A. 2
B. 5
C. 10
D. 25
Correct Answer is: B
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. In this case, the equation is in standard form, so the radius is the square root of the constant term on the right-hand side, which is 25. Therefore, the radius of the circle is \sqrt{25} = 5.