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Thread: Circle from an Arc

  1. #1
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    Circle from an Arc

    Hi to all!
    I have an arc whose two endpoints i know .
    No radius i know.
    Is it possible to to draw an circle from this two endpoints such that the circle involves that endpoints as its minor arc?

    Any help will be hearlty appreciated!!!
    Regards!!!
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  2. #2
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    Quote Originally Posted by krunal_299 View Post
    Hi to all!
    I have an arc whose two endpoints i know .
    No radius i know.
    Is it possible to to draw an circle from this two endpoints such that the circle involves that endpoints as its minor arc?

    Any help will be hearlty appreciated!!!
    Regards!!!
    Let A, B denote the endpoints of the arc. Coose an arbitrary point P on the arc.

    Construct the perpendicular bisector of \overline{AP} and \overline{BP}.

    These 2 perpendicular bisectors meets at C, the center of the circle in question.
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