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Math Help - Rectangles and circles

  1. #1
    Newbie
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    Jul 2008
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    Cool Rectangles and circles

    Hi guys. I may be being really dumb but I just wanted to check this. If a rectangle is laid flat and a circle slowly moves towards it until it is just touching the rectangle, what shape would you draw if you put a pencil in the centre of the circle and drew around the rest of the rectangle?

    Apologies if I'm being really dumb but just wanted to check.

    Many thanks in advance!!!

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  2. #2
    Super Member

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    May 2006
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    Lexington, MA (USA)
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    Hello, Carlos!

    If a rectangle is laid flat and a circle is just touching the rectangle, what shape would you draw
    if you put a pencil in the centre of the circle and drew around the rest of the rectangle?

    If I understand the problem, we are rolling a circle around a rectangle
    . . and tracing the path of its center.

    The figure would be a "rectangle" with rounded corners.

    The shaded region is the given rectangle.
    R is the radius of the circle.

    Code:
                  *   *   *   *   *
              *   :               :   *
            *     :R              :     *
           *      :               :      *
                  :               :
          * - - - o---------------o - - - *
          *   R   |:::::::::::::::|       *
          *       |:::::::::::::::|       *
          *       |:::::::::::::::|       *
          *       |:::::::::::::::|       *
          *       |:::::::::::::::|       *
          *       |:::::::::::::::|       *
          * - - - o---------------o - - - *
                  :               :   R
           *      :               :      *
            *     :              R:     *
              *   :               :   *
                  *   *   *   *   *
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  3. #3
    Newbie
    Joined
    Jul 2008
    Posts
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    Smile

    Hello Soroban,

    Thank you very, very much for that. You've put a worried mind at ease. Kind of you to take the time to reply!

    Warm regards

    Carlos
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