Write an equation of the circle with the given center and radius.
-$( 6,0 ) ; 8$
A) $( x + 6 ) ^ { 2 } + y ^ { 2 } = 64$
B) $( x - 6 ) ^ { 2 } + y ^ { 2 } = 64$
C) $x ^ { 2 } + ( y - 6 ) ^ { 2 } = 8$
D) $x ^ { 2 } + ( y + 6 ) ^ { 2 } = 8$

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 $(6, 0)$ and radius $8$, the equation is $(x - 6)^2 + (y - 0)^2 = 8^2$, which simplifies to $(x - 6)^2 + y^2 = 64$.

Write an Equation of the Circle with the Given Center (6,0);8( 6,0 ) ; 8(6,0);8

Write an Equation of the Circle with the Given Center $( 6,0 ) ; 8$