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.
- $$x ^ { 2 } + y ^ { 2 } - 6 x + 6 y - 82 = 0$$

A) $( x + 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 100$
Center: $( 3 , - 3 ) ; r = 10$

B) $( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 100$
Center: $( - 3,3 ) ; r = 10$

C) $( x + 3 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 100$
Center: $( 3 , - 3 ) ; r = 10$

D) $( x - 3 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 100$
Center: $( 3 , - 3 ) ; r = 10$