A powerful cyclone has battered the Pacific island of Aitutaki, damaging 80 per cent of homes and prompting authorities to impose an island-wide state of disaster. The category three Cyclone Pat caused widespread damage, with winds gusting up to 100 knots in Aitutaki, part of the Cook Islands.Cook Islands Police Commissioner Maara Tetava said the main damage on the island is roofing damage to about 80 per cent of houses. Tetava said power had been knocked out for much of Aitutaki and may not be fully restored for up to six weeks.The Fiji Meteorological Service said the cyclone was weakening rapidly and was tracking well to the west of Rarotonga, which lies about midway between New Zealand and Hawaii. Authorities were not taking any chances, with government offices, schools and many businesses closed in Rarotonga.