Question 3
As shown, $ABCD$ is a square, and $E,F,G,H$ are the midpoints of $AB,BC,CD,DA$, respectively. Semicircles are drawn with diameters $EF,FG,GH,HE,AE,EB,BF,FC,CG,GD,DH,HA$. If the area of square $ABCD$ is $314\text{ cm}^2$, what is the total shaded area, in $\text{cm}^2$? Take $\pi=3.14$.
