Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } - 12 x - 6 y + 33 = 0$$

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } - 12 x - 6 y + 33 = 0$$

A) $( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$
$( 6,3 ) , r = 2 \sqrt { 3 }$
B) $( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$
$( 6,3 ) , r = 12$
C) $( x - 6 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$
$( - 6 , - 3 ) , r = 2 \sqrt { 3 }$
D) $( x + 6 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12$
$( - 6 , - 3 ) , \mathrm { r } = 2 \sqrt { 3 }$ Graph the equation.