It depends on the purpose you need the 'center' for.

Easiest and roughest center is the center of the bounds of the
polygon.
GPolygon.getBounds().getCenter();
That is useful if you just want to fit the polygon in your map.

The most accurate is the center of gravity of the polygon. That is
also called centroid. Try googling and you will see that it takes some
mathematics. Basically it is calculated from triangles that are formed
when a line is drawn from every individual vertex to a reference
point. If the polygon is very large, you have to do even some
spherical maths for greater accuracy.

Average (means) of the vertex coordinates of an irregular polygon is
not generally very useful.
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