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anonymous

  • one year ago

HELP!!!!! Arrange the circles (represented by their equations in general form) in ascending order of their radius lengths. x2 + y2 − 2x + 2y − 1 = 0 x2 + y2 − 4x + 4y − 10 = 0 x2 + y2 − 8x − 6y − 20 = 0 4x2 + 4y2 + 16x + 24y − 40 = 0 5x2 + 5y2 − 20x + 30y + 40 = 0 2x2 + 2y2 − 28x − 32y − 8 = 0 x2 + y2 + 12x − 2y − 9 = 0

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  1. welshfella
    • one year ago
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    the general equation of circle is x^2 + y^2 + 2gx + 2fy + c = 0 compare your equations withe above to find the values of g, f and c the radius of the circle will be sqrt(g^2 + f^2 - c)

  2. welshfella
    • one year ago
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    for example the radius of first one is sqrt(1^2 + (-1)^2 - (-1)) = sqrt 3

  3. anonymous
    • one year ago
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    but its asking for assending radius form

  4. anonymous
    • one year ago
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    or their radius lengths

  5. welshfella
    • one year ago
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    yes well find the radii of all 7 equations first then you can arrange them in the correct order

  6. welshfella
    • one year ago
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    do you see how i got g = 1 and f = -1?

  7. welshfella
    • one year ago
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    and c = -1

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