Join a line and circle

I'm trying to recreate a logo and I want to join a line and circle, so that the outer circle is merged with the top line, as in the figure below. All the pathfinder tools don't give me what I'm after, I know there's got to be a simple way to do this, but I'm stuck.
How can I accomplish this?

Thersher,
Jacob's steps are great. Here are some visuals to go along with his instructions.
1) Create the circle. I also made a guide to make everything easier for me.
2) Create the line.
3) Select the circle and use the Scissors tool to cut the circle at the two intersection points.
4) Delete the unwanted segment.
5) Do the same for the unwanted portion of the line.
6) Direct Select each of the two pairs of end points and Join them with Ctrl/Cmd+J.

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