Here's my real answer. Maybe I need to be more verbose for it to be valid, though?
http://t.sidoh.org/?GxEJEQ==
I said you could use shortcuts if you show that they can be done according to the rules. You may not simply line your straight edge up to the edge of a circle to draw a tangent; you need to determine where the tangent point is, and you need to explain how to draw a perpendicular line. If you can do that, and show how you constructed your perpendicular lines, you will have found one possible solution. If you did that though, I'd ruin your day by asking you to do the same problem around two given adjacent vertecies, which is something I should have specified at the beginning.
I started with the bottom, and drew a line horizontally through the center. After that I drew another circle without changing my comp--radius box on the right, same on the left, starting with a point on the intersect of the first line and the first circle. Then I drew two vertical lines (one in each side circle) same as the bottom one, and connected the top. The fourth circle is completely unnecessary, but I didn't realize that until after I'd merged down my layers, so eh.
How did you draw a line horizontally through the center? It's possible, you just need to say how you did it.
Everything you did after that broke the rules.
You should try actually doing this on paper, not in photoshop. It's much easier, even if you don't have a compass.