A huge lagoon surrounds Palmerston, which is shaped like a delicate necklace in the Pacific with a coral reef, white beaches, six sand Motus, and a coral reef strung throughout. Although the tiny islands of Palmerston, North Island, Lee To Us, Leicester, Primrose, Tons. Cooks have a combined land area of just around one square mile, the coral reef, which surrounds a stunning blue lagoon with a width of seven miles, is nearly 3,600 acres.