\(ABCD\) is a trapezoid with bases \(AB=5\) and \(CD=3\). Furthermore, \(ABCD\) is inscribed in a circle with radius \(r\), such that the legs \(BC\) and \(AD\) satisfy \(BC=AD=r\). If \(r=\sqrt{\dfrac{a}{b}}\), find \(a+b\).

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