How do I create a path based on the arc of a crescent?

I've created a crecsent by using the pathfinder and two circles. I also used the blend tool to create a line of evenly spaced, much smaller cirles. I want to create a path to use as a spline to align the series of small spheres evenly along a path that follows the inside arc of the crescent perfectly. I need to create a single path that follows the inside curve of the arc at a distance of, say, 0.1 inches all the way along so I can use that as a replacement spline. Unless there is a simpler method.

Thanks, that works great!
Another workaround that came to me last night was to create two circles on top of each other. Then I offset one and put H and V guides through it's center. I used the pathfinder on them to create the crescent. Then I made a small circle which I placed a certain distance from the top edge of what used to be the offset circle. Then I rotated a copy around the point which is the center of what used to be the offset circle. Then Crl+D until the arc is complete.
I prefer your method though because it leaves more editing options if I want to go back and change blend options on the arc of circles and also because my workaround only works if the inside arc was created with a perfect circle and not an oval.

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