Converting a simple spline to a series of arcs

Dear All,

I would like to convert a relatively simple spline into few arcs (1-3). 
The best way that I could find was to first convert the spline into a polyline using explodex. I iteratively try to select a low precision as possible.

Then I continue with EditPolyline->Fit.

The problem is that explodex doesn't let me define a resolution that will result with just few arcs. Is there any way to solve this?