# Intersection of a sector and a rectangle

I have a rectangle and a circular sector in a Cartesian plane. What is the easiest way (algorithmically) to tell if they intersect?

Edit:

• I'm looking to see if the areas intersect, not just the perimeters.
• Also, the rectangle is guaranteed to be of the form $a \leq x \leq b$, $c \leq y < d$ i.e. it will not have any rotation.
-
What do you know from the rectangle and the sector? –  Fabian Mar 23 '11 at 22:34
anything you want. I have a the center (for the circle) of the sector, the radius, the slope of the line that bisects sector...I have all the vertices of the rectangle. –  Conley Owens Mar 24 '11 at 0:45