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Math Help - Circle inside a square

  1. #1
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    Circle inside a square

    This will probably be really simple but I've been working on it for a solid hour and I can't seem to solve it.



    Uploaded with ImageShack.us

    Basically I have a circle inside of a square and I wish to calculate the distance between the origin and the edge of the square. Sounds pretty simple ay?

    I know the radius and thus all the dimensions of the square and the angle.

    This is what i have:

    r=radius
    a = angle
    b = 90 - a

    c = r * cos(a);
    d = r * sin(b);

    and then whichever is smaller c or d is the distance. This doesn't work, at least it doesn't seem to

    Many thanks in advance

    Conor
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  2. #2
    MHF Contributor
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    Re: Circle inside a square

    You will need better definitions. Perhaps if you labled the drawing.

    a = ?? Any angle?
    b = ?? Compliment of some angle?
    c = ?? x-coordinate of some point on the circle?
    d = ?? y-coordinate of probably some other point on the circle?
    I think I can assume what r is, but the others need a little help.
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  3. #3
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    Re: Circle inside a square

    Quote Originally Posted by TKHunny View Post
    You will need better definitions. Perhaps if you labled the drawing.

    a = ?? Any angle?
    b = ?? Compliment of some angle?
    c = ?? x-coordinate of some point on the circle?
    d = ?? y-coordinate of probably some other point on the circle?
    I think I can assume what r is, but the others need a little help.
    I have removed the circle after realising it's redundant. and i have labeled things..

    this is just the top right quarter too.

    [IMG=http://img803.imageshack.us/img803/3804/squarequ.png][/IMG]

    Uploaded with ImageShack.us

    c and d are both lengths
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