R1's edges: $x=w$, $y=h$, $x=0$, $y=0$
$S(x,y)$: area of intersection of
R1 when center of
C1 is at $(x, y)$
$X$: follows uniform distributed in $[0,w]$
$Y$: follows uniform distributed in $[0,h]$
$X$ and $Y$ is independent.
I want to know:
What is $E(S(X, Y))$, the expected value of area of intersection.