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Math Help - Inscribe Square.

  1. #1
    Newbie joesmith13610's Avatar
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    Inscribe Square.

    I am having a problem with this problem...

    the exact problem is,

    "Inscribe a square in a given sector of a circle. Two vertices of the square are required to lie on the arc, one vertex on each of the two sides of the central angle of the sector."


    I got the inscribe square where our central angle is 180.

    But what about when central angle is >180, <180.

    Thanks everyone
    Last edited by joesmith13610; October 25th 2008 at 11:41 AM.
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by joesmith13610 View Post
    I am having a problem with this problem...

    the exact problem is,

    "Inscribe a square in a given sector of a circle. Two vertices of the square are required to lie on the arc, one vertex on each of the two sides of the central angle of the sector."


    I got the inscribe square where our central angle is 180.

    But what about when central angle is >180, <180.

    Thanks everyone
    1. Draw an arbitrary square, symmetric to the angle bisector of the central angle of the sector, with 2 vertices placed on the legs of the central angle. See attachment: The red square.

    2. Use central dilation(?) to get the final result: The blue square.

    3. In my opinion this method should work with every central angle.
    Attached Thumbnails Attached Thumbnails Inscribe Square.-square_inscribedsector.png  
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  3. #3
    Newbie joesmith13610's Avatar
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    Oregon
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    thank you earboth. I appreciate your help, now on forth to the proof.


    thanks again.
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