An Incenter Region Area

In $\triangle ABC$, $AC=6$, $BC=7$, $\cos A=\dfrac 15$, and $I$ is the incenter. A point $P$ satisfies $\overrightarrow{IP}=x\overrightarrow{IA}+y\overrightarrow{IB}$ with $x,y\in[0,1]$. Find the area of the region traced by $P$.