Question 4
Exercise 17. Rectangle $ABCD$ has sides $CD=3$ and $DA=5$. A circle of radius 1 is centered at $A$, a circle of radius 2 is centered at $B$, and a circle of radius 3 is centered at $C$. Find the area of the region inside the rectangle but outside all three circles.
**Editorial input convention:** Enter the exact area in the form `a-b*pi/c`, where b/c is a reduced positive fraction; use the letters pi, with no spaces or units. Format example, not the answer: `8-5*pi/3`.
**Editorial input convention:** Enter the exact area in the form `a-b*pi/c`, where b/c is a reduced positive fraction; use the letters pi, with no spaces or units. Format example, not the answer: `8-5*pi/3`.