Find the Equation of the Circle with a Radius of 5

question 59

Multiple Choice

Find the equation of the circle with a radius of 5 and its center at the intersection of $5 x + y = 22$ and $5 x -$ $5 y = 10$ .

• A) \(( x - 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 25\)
• B) \(( x - 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 25\)
• C) \(( x + 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 5\)
• D) \(( x - 4 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 5\)
• E) \(( x + 4 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 25\)

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