Question 11
Square $ABCD$ has side $4$ cm. $E,F$ are midpoints of $AD,BC$. A radius-$4$ arc centred at $C$ meets $EF$ at $G$; a radius-$2$ arc centred at $F$ meets it at $H$. The difference between the areas bounded by $GH,BG,BH$ and by $EG,DE,DG$ is $(m\pi-n)$ cm$^2$. Find $m+n$.
