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Can I cheat and use QGIS? Feel like if I got up off my butt and went to my PC it would take two mins.

I assume we are simplifying to an oblate spheroid and not worrying about topography and such.

Also I think this means technically its a Spheroidal Cap?

If we bring in topography, aren't we now running into a 3D version of the coastline paradox?

https://en.wikipedia.org/wiki/Coastline_paradox

So, yes, good point. Let's start with assuming a perfect sphere, then oblate spheroid, then topography, then only land (not water), and however crazy this thread gets with whatever else we haven't thought of :)

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