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16 February, 16:54

A circle is defined by the equation x2 + y2 - x - 2y - = 0. What are the coordinates for the center of the circle and the length of the radius?

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  1. 16 February, 17:00
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    x² + y² - x - 2y = 0

    x² - x + y² - 2y = 0

    x² - x + 0.25 + y - 2y + 4 = 0 + 0.25 + 4

    (x - 0.5) ² + (y - 2) ² = 4.25

    Center: (0.5, 2)

    Radius: 2.061552813

    The center is equal to (0.5, 2) and the radius is equal to 2.061552813.
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