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21 December, 03:18

Find the center and radius of each circle x^2+y^2-6x+2y+9=0

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  1. 21 December, 06:43
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    see explanation

    Step-by-step explanation:

    The equation of a circle in standard form is

    (x - h) ² + (y - k) ² = r²

    where (h, k) are the coordinates of the centre and r is the radius

    To obtain this form use the method of completing the square on both the x and y terms

    x² - 6x + y² + 2y = - 9 ← rearranging

    x² + 2 ( - 3) x + 9 + y² + 2 (1) y + 1 = - 9 + 9 + 1

    (x - 3) ² + (y + 1) ² = 1 ← in standard form

    with centre (3, - 1) and radius 1
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