Determine the center and radius of the circle.
-$$( x - 4 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$$
A) Center: $( 4,8 )$; Radius: 9
B) Center: $( 4,8 )$; Radius: 3
C) Center: $( - 4 , - 8 )$; Radius: 3
D) Center: $( - 4 , - 8 )$; Radius: 9

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 this case, $h = 4$, $k = 8$, and $r^2 = 9$, so the radius $r$ is $\sqrt{9} = 3$.

Determine the Center and Radius of the Circle (x−4)2+(y−8)2=9( x - 4 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9(x−4)2+(y−8)2=9

Determine the Center and Radius of the Circle $( x - 4 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$