A square with side length $30cm$ is split into $9$ squares. The big square contains three circles

with radii $5cm($bottom right$),4cm($top left$)$ as well as $3cm($top right$)$ as seen in the diagram.

How many $c{m}^2$ are shaded in grey?

$($A$)500+25$

$($B$)500$

$($C$)400+50$

$($D$)400$

$($E$)500-25$