Write the equation of the circle containing the point (8, 1) and a center at (4, –9).

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  (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

step-by-step explanation:

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