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Math Help - Sketching contours maths?

  1. #1
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    Sketching contours maths?

    Hi, im very new to this so not sure if this is the correct section

    I have to sketch a contour for, z^2=9-4x^2-4y^2
    So lets make z^2=c
    then after some rearranging you get
    x^2+y^2=(9-c)/4
    its a circle. But im not sure what the radius is. Is it root (9-c)/4? or is it left as it is. Im asking since i made z^2=c and not z=c. Am i doing it right? please help. Many thanks
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  2. #2
    Junior Member
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    Zagreb
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    radius is sqrt of (9 - c)/4

    equation for circle is...

    ( x - p )^2 + ( y - q )^2 = r^2

    in your case....

    p = 0, q = 0, r = sqrt( ( 9 - c )/4 ), c = z^2
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  3. #3
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    thank you very much indeed!
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