Find the center and radius of the circle.
-$( x + 9 ) ^ { 2 } + y ^ { 2 } = 49$
A) $( 0,9 ) , r = 7$
B) $( 9,0 ) , r = 49$
C) $( 0 , - 9 ) , \mathrm { r } = 49$
D) $( - 9,0 ) , r = 7$

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 $r$. The given equation $(x + 9)^2 + y^2 = 49$ can be rewritten to match this form as $(x - (-9))^2 + (y - 0)^2 = 7^2$, indicating a center at $(-9, 0)$ and a radius of $7$.

Find the Center and Radius of the Circle (x+9)2+y2=49( x + 9 ) ^ { 2 } + y ^ { 2 } = 49(x+9)2+y2=49

Find the Center and Radius of the Circle $( x + 9 ) ^ { 2 } + y ^ { 2 } = 49$