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

question 170

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: \(( 3 , - 3 ) ; r = 10\)

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A psychologist known for his work on the development of social awareness and the stages of friendship in children.