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1 September, 07:55

Determine and state the coordinates of the center and the length of the radius of a circle whose equation is x² + y² - 6x = 56 - 8y

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  1. 1 September, 08:16
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    The center is at (3, - 4), and the radius is 9.

    Step-by-step explanation:

    x² + y² - 6x = 56 - 8y

    Move x and y terms to one side.

    x² - 6x + y² + 8y = 56

    Complete the squares.

    x² - 6x + 9 + y² + 8y + 16 = 56 + 9 + 16

    (x - 3) ² + (y + 4) ² = 81

    The center is at (3, - 4), and the radius is 9.
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