Find the Equation of the Circle with a Radius of 9

question 40

Multiple Choice

Find the equation of the circle with a radius of 9 and its center at the intersection of $5 x + y = 20$ and $2 x -$ $3 y = - 9$ .

• A) \(\quad ( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 9\)
• B) \(\quad ( x - 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 81\)
• C) \(\quad ( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 81\)
• D) \(\quad ( x + 3 ) ^ { 2 } + ( y + 5 ) ^ { 2 } = 9\)
• E) \(\quad ( x - 3 ) ^ { 2 } + ( y - 5 ) ^ { 2 } = 81\)

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