QuestionQuestion 15 of 40 What are the center and radius of the circle defined by the equation $x^{2}+y^{2}-6 x+10 y+25=0$ ? A. Center $(-3,5)$; radius 9 B. Center $(3,-5)$; radius 3 C. Center $(3,-5)$; radius 9 D. Center $(-3,5)$; radius 3 SUBMIT

Studdy Solution
Identify the radius of the circle:
The radius $r$ is the square root of the right side of the equation:
$$r^2 = 9$$
$$r = \sqrt{9} = 3$$
The center and radius of the circle are:
Center: $(3, -5)$, Radius: $3$
The correct answer is:
B. Center $(3, -5)$; radius 3