如图，$\text{Rt}\Delta \text{ABC}$中，$\angle A=90°$，$\mathit{CD}$平分$\angle \mathit{ACB}$交$\mathit{AB}$于点$D$，$O$是$\mathit{BC}$上一点，经过$C$、$D$两点的$\odot O$分别交$\mathit{AC}$、$\mathit{BC}$于点$E$、$F$，$\mathit{AD}=\sqrt{3}$，$\angle \mathit{ADC}=60°$，则劣弧$\widehat{\mathit{CD}}$的长为　　．