Find the center and the radius of the circle.
-$$( x + 9 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25$$
A) center $( - 5 , - 9 )$; radius $= 5$
B) center $( - 9 , - 5 ) ;$ radius $= 5$
C) center $( 5,9 )$; radius $= 25$
D) center $( 9,5 )$; radius $= 25$

Question

Quizplus · Accepted Answer

The equation of a circle in the form $(x - h)^2 + (y - k)^2 = r^2$ has a center at $(h, k)$ and a radius of $r$. In the given equation, $(x + 9)^2 + (y + 5)^2 = 25$, the center is $(-9, -5)$ and the radius is $\sqrt{25} = 5$.

Find the Center and the Radius of the Circle (x+9)2+(y+5)2=25( x + 9 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25(x+9)2+(y+5)2=25

Find the Center and the Radius of the Circle $( x + 9 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 25$