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Math Help - Is the eccentricity of this ellipse correct?

  1. #1
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    Is the eccentricity of this ellipse correct?

    eccentricity = sqrt(a^2 - b^2)/a (I think this formula is correct for the following ellipse) THANKS WILL BE GIVEN TO THOSE WHO HELP!

    [(x^2) / 25] +[(y-3)^2 / 9] = 1

    e = SQRT(25^2 - 9^2)/25

    e = SQRT( 625 - 81)/25

    e = 23.32/ 25

    e = .9328

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  2. #2
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    Quote Originally Posted by bobbyboy1111 View Post
    eccentricity = sqrt(a^2 - b^2)/a (I think this formula is correct for the following ellipse) THANKS WILL BE GIVEN TO THOSE WHO HELP!

    [(x^2) / 25] +[(y-3)^2 / 9] = 1

    e = SQRT(25^2 - 9^2)/25

    e = SQRT( 625 - 81)/25

    e = 23.32/ 25

    e = .9328
    No, you have squared the numbers twice. If the equation is \frac{x^2}{5^2} + \frac{(y-3)^2}{3^2} = 1 then a=5, b=3 and e^2 = (5^2-3^2)/5^2 = 16/25, so e=4/5.
    Last edited by Opalg; August 23rd 2009 at 12:54 AM.
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