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Thread: equation of a square; need equation similar to eqn for circle

  1. #1

    equation of a square; need equation similar to eqn for circle

    Dear readers,

    I am stuck with a question:

    I have a square, with sides 2a. Ik want to make an equation similar to x^2 + y^2 = r^2 for a circle. Do you know if this is possible?

    Thanks in advance,

    Bram

  2. #2
    Senior Member
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    Quote Originally Posted by bramplas View Post

    I am stuck with a question:

    I have a square, with sides 2a. Ik want to make an equation similar to x^2 + y^2 = r^2 for a circle. Do you know if this is possible?
    For a square centered at the origin and that looks like a baseball diamond, you could refer to this (the 2nd and 4th diagrams down):

    http://polymathprogrammer.com/2010/0...th-1-equation/

    In the diagram, the c value is the length of the segment from the origin to a vertex.

    A hypotenuse in the diagram will be square root of two multiplied by c, ** so c will be your 2a divided by the square root of two, or

    [tex] a\sqrt{2}.[/tex]



    Here is the equation:

    [tex]|x| \ + \ |y| \ = \ a\sqrt{2}[/tex]




    ** [tex] \ \ \ [/tex] You may need to work this out to see this.

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