Write the Given Equation in the Form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$

Multiple Choice

Write the given equation in the form $( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }$ . Identify the center and radius.
- $$x ^ { 2 } + y ^ { 2 } + 16 x + 8 y - 20 = 0$$

A) $( x + 16 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 20$
Center: $( 16,8 ) ; r = 20$

B) $( x + 16 ) ^ { 2 } + ( y + 8 ) ^ { 2 } = 20$
Center: $( - 16 , - 8 ) ; r = 20$

C) $( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$
Center: $( - 8 , - 4 ) ; r = 10$

D) $( x + 8 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 100$
Center: $( 8,4 ) ; r = 10$