Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + y ^ { 2 } - 18 x + 2 y + 82 = 4$$

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + y ^ { 2 } - 18 x + 2 y + 82 = 4$$

A) $( x - 9 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$
$( 9 , - 1 ) , r = 2$
B) $( x + 1 ) ^ { 2 } + ( y - 9 ) ^ { 2 } = 4$
$( - 1,9 ) , r = 2$
C) $( x - 9 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$
$( - 9,1 ) , r = 4$
D) $( x + 1 ) ^ { 2 } + ( y - 9 ) ^ { 2 } = 4$
$( 1 , - 9 ) , \mathrm { r } = 4$