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Math Help - Relation between the diagonals of a regular octagon from a point

  1. #1
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    Relation between the diagonals of a regular octagon from a point

    I'm trying to figure out the relation between the diagonals of a regular octagon from a point. Can any one help me out?
    In the attached image, please help me to find out the relation between the lengths of a,b,c with respect to diameter d of the circle to which it's inscribed
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  2. #2
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    Chord if you go to this webpage you will find the formula for finding the length of a chord of a circle in terms of its central angle and radius: a=2R\sin\left(\frac{\theta}{2}\right).

    Now for an octagon the sides and diagonals are subtended by
    \frac{\pi}{4},~\frac{\pi}{2},~\frac{3\pi}{4},~\&~\  pi.

    That will give the four length you need.
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