Write an equation of the circle with the given center and radius.
-$$( 0 , - 6 ) ; 6$$
A) $( x + 6 ) ^ { 2 } + y ^ { 2 } = 36$
B) $x ^ { 2 } + ( y + 6 ) ^ { 2 } = 36$
C) $( x - 6 ) ^ { 2 } + y ^ { 2 } = 36$
D) $x ^ { 2 } + ( y - 6 ) ^ { 2 } = 6$

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 with center $(0, -6)$ and radius $6$, the equation is $x^2 + (y + 6)^2 = 36$, matching choice B.

Write an Equation of the Circle with the Given Center (0,−6);6( 0 , - 6 ) ; 6(0,−6);6

Write an Equation of the Circle with the Given Center $( 0 , - 6 ) ; 6$