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Math Help - Finding the one edge of the rectangle

  1. #1
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    Finding the one edge of the rectangle

    Hello ,

    I want to find the rectangle one edge "a" (ie. x and y points of the "a" edge) I know the

    rectangle width
    rectangle height
    circle radius
    and circle mid point
    How to find the edge "a" x and y points?

    The rectangle will be rotated on the circle , so the rectangle center point always touch the circle boundry. For different positions of rectangle I have to calculate edge "a" x and y points.

    Thanks in advance
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  2. #2
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    Quote Originally Posted by kumar View Post
    Hello ,

    I want to find the rectangle one edge "a" (ie. x and y points of the "a" edge) I know the

    rectangle width
    rectangle height
    circle radius
    and circle mid point
    How to find the edge "a" x and y points?

    The rectangle will be rotated on the circle , so the rectangle center point always touch the circle boundry. For different positions of rectangle I have to calculate edge "a" x and y points.

    Thanks in advance
    You didn't give us the coordinate system you are refering to. So I'm guessing:

    Let C denote the center of the circle, w the width of the rectangle and r the radius of the given circle.

    Then the vertex A is placed on a circle around C with the radius R_A = \sqrt{r^2 + \left(\dfrac12 w\right)^2}
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  3. #3
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    Joined
    May 2007
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    Based on the user given angle I have to place the rectangle on the circle( see the diagram). For drawing rectangle I need that starting point ie. x,y points bottom left of the rectangle(edge "a"). how to calculate that points.
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