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Math Help - Need help starting this ellipse problem :)

  1. #1
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    Need help starting this ellipse problem :)

    The edge of my kitchen counter top is the shape of an ellipse. Since my tiles were 18" squares, the deepest part is 18 inches deep and the edge tapers to 12 inches deep. The counter will be 6 feet long. You can see the counter outlined below if you look at the area that is both inside the blue ellipse and inside the brown rectangle at the same time.
    What is the equation of this ellipse if everything is figured in inches?


    Where do the foci of my “tacks” need to be placed to draw my counter edge?


    How long should the “string” be to generate this curve?
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  2. #2
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    Quote Originally Posted by mikes4x4s View Post
    The edge of my kitchen counter top is the shape of an ellipse. Since my tiles were 18" squares, the deepest part is 18 inches deep and the edge tapers to 12 inches deep. The counter will be 6 feet long. You can see the counter outlined below if you look at the area that is both inside the blue ellipse and inside the brown rectangle at the same time.
    What is the equation of this ellipse if everything is figured in inches?


    Where do the foci of my “tacks” need to be placed to draw my counter edge?


    How long should the “string” be to generate this curve?
    Where is the counter outline? The sketch?

    Do I understand tha your elliptical counter is 18 inches deep only at its deepest, and that it is 6 ft long?
    If it is 18 inches only at its deepest, how would the sink fit in?
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  3. #3
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    The image that I think you meant to get attach didn't!

    If you just give width of the ellipse, as you've already given the length, then the rest will be pretty easy to figure out.
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