So I recently re-watched First Contact. I noticed Picard telling Lily Sloane that the Federation is 8,000 light years across, however in Voyager it's estimated a trip of 70,000 ly would take about 75 years at maximum warp to complete. So doesn't that mean if one wants to travel across the Federation it would take them ~8,5 to cover the distance. Is the Federation really that big or am I missing something? If the Federation really is that big how can it be successfully managed and defended?