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Math Help - distance between edges of two non concentric circles?

  1. #1
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    distance between edges of two non concentric circles?

    please i want to know how did they compute the distance r' between these two non-concentric circles. you find enclosed here the scheme that represent the displacement of the two circles.

    r'=sqrt(alpha)*beta+-sqrt(alpha*beta^2-alpha-rI^2)

    where,

    alpha=ox^2+oy^2

    beta=cos(Pi-arctan(oy/ox)-theta)

    and rI is the radius of the outer circle.

    thanks an advance
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