Connecticut is about 53 times bigger than Cook Islands.

Cook Islands is approximately 236 sq km, while Connecticut is approximately 12,548 sq km, making Connecticut 5,217% larger than Cook Islands. Meanwhile, the population of Cook Islands is ~8,128 people (3.6 million more people live in Connecticut).
Tip: This to-scale comparison of Cook Islands vs. Connecticut uses the Mercator projection, which distorts the size of regions near the poles.