Complete the Square and Write the Equation in Standard Form $$x ^ { 2 } + 8 x + 16 + y ^ { 2 } + 2 y + 1 = 36$$

Multiple Choice

Complete the square and write the equation in standard form. Then give the center and radius of the circle.
- $$x ^ { 2 } + 8 x + 16 + y ^ { 2 } + 2 y + 1 = 36$$

A) $( x + 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 36$
$( - 4 , - 1 ) , r = 6$
B) $( x + 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 36$
$( - 1 , - 4 ) , r = 6$
C) $( x + 4 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 36$
$( 4,1 ) , r = 36$
D) $( x + 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 36$
$( 1,4 ) , \mathrm { r } = 36$