code: public static final PolygonOptions buildClosedArc(LatLong center, LatLong start, LatLong end, ArcType arcType) {
          MVCArray res = buildArcPoints(center, start, end);
          if (ArcType.ROUND.equals(arcType)) {
              res.push(center);
          }
          return new PolygonOptions().paths(res);
      }
docs: Builds the path for a closed arc, returning a PolygonOptions that can be
  further customised before use.
  
  @param center
  @param start
  @param end
  @param arcType Pass in either ArcType.CHORD or ArcType.ROUND
  @return PolygonOptions with the paths element populated.