I have two groups of circles. S1 is the union of the first group and S2 is the union of the second group of circles. I know center and radius of all circles. I have to find the equation for the intersection of S1 and S2. Is there anyway to do it?
How to find the intersection of union of two circle groups
0
$\begingroup$
circles
-
0For the sake of searchability, "circle group" has a different and precise mathematical definition (http://en.wikipedia.org/wiki/Circle_group) so it might be better to say something like "collection of circles." – 2012-08-03
-
0What do you mean by the "equation" for the intersection? The area? – 2012-08-03
-
0I mean any mathematical representation of the area that i am looking for. – 2012-08-03
-
0The description you gave (the intersection of the respective unions of two known collections of circles) is already a mathematical representation of a subset of the plane. Whether there is another, more useful, representation depends on what you want to do with it. If you want to test whether a given point belongs to the intersection, that description is probably fine. If you want the perimeter or the area or the number of disjoint closed components, then not so much. – 2012-08-03