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Answer:
(x -4)² +(y +9)² = 116
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . center at (h, k), radius r
The value of the r² term can be found by using the point in the circle expression.
(x -4)² +(y +9)² = (8 -4)² +(1 +9)² = 16 +100
(x -4)² +(y +9)² = 116 . . . . . equation of the circle
