Find an equation of the circle with the given characteristics.
-$( - 6,0 )$ and radius 3
A) $( x - 6 ) ^ { 2 } + y ^ { 2 } = 3$
B) $( x + 6 ) ^ { 2 } + y ^ { 2 } = 9$
C) $( x + 6 ) ^ { 2 } = 9$
D) $( x - 6 ) ^ { 2 } = 3$

Question

Quizplus · Accepted Answer

The equation of a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. For a circle centered at $(-6, 0)$ with radius 3, the equation is $(x + 6)^2 + y^2 = 3^2$, which simplifies to $(x + 6)^2 + y^2 = 9$.

Find an Equation of the Circle with the Given Characteristics (−6,0)( - 6,0 )(−6,0)

Find an Equation of the Circle with the Given Characteristics $( - 6,0 )$