Write an equation of the circle with the given center and radius.
-$( - 3,6 ) ; 12$
A) $( x + 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$
B) $( x - 3 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 144$
C) $( x + 3 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 144$
D) $( x - 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12$

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 center $(-3, 6)$ and radius $12$, the equation is $(x + 3)^2 + (y - 6)^2 = 144$, matching choice C.

Write an Equation of the Circle with the Given Center (−3,6);12( - 3,6 ) ; 12(−3,6);12

Write an Equation of the Circle with the Given Center $( - 3,6 ) ; 12$