As easy as a, b, c, d?

Geometry Level 3

If \(\left(a,\dfrac{1}{a}\right),\left(b,\dfrac{1}{b}\right),\left(c,\dfrac{1}{c}\right)\) and \(\left(d,\dfrac{1}{d}\right)\) are four distinct points on a circle of radius 4 units, then find the value of \(abcd\).

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