clipCircle's precision is too low
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The clipCircle's precision is 6 degrees (like geoCircle's precision), and the resulting segments are visibly linear on any azimuthal projection's sphere. I would like to make it either configurable (with a default of 6), or to change the value to 2 degrees.
I would also argue that geoCircle's default precision could be set to 2 degrees instead of 6. The trade-offs for speed vs quality might be a bit different 10 years later, with faster computers everywhere.