Vertex at intersection of two planes

Okay, i’ve seen a few threads out there that talk about this but i haven’t really found any that help.

What i’m trying to do is make a biohazard symbol. I have a reference picture and realize it’s just a bunch of circles. So i placed a bunch of circles over, yet what i need to do is is cut out some segments.

But in order to do that i need a vertex at the intersections of the circles.

Is there an easier way to make a vertex at an intersection without using python code or several subdivisions?:confused:

I find it easier to draw logos or complex shapes in vector programs like Inkscape or Corel Draw, then export as svg and import them to Blender using jms’ latest svg2obj import script. It’s easier to do booleans with shapes, rotations and duplications, etc, in 2D vector programs.