 The town of Līhue, on the island's southeastern coast, is the seat of Kauai County and the second largest town on the island.Kapaa, on the "Coconut Coast" (site of an old coconut plantation) about north of Līhue, has a population of over 10,000, or about 50% greater than Līhue.Princeville, on the island's north side, was once the capital of Kauai.