Cayman Islands is about 2,000 times smaller than Yemen.

Yemen is approximately 527,968 sq km, while Cayman Islands is approximately 264 sq km, making Cayman Islands 0.05% the size of Yemen. Meanwhile, the population of Yemen is ~31.0 million people (30.9 million fewer people live in Cayman Islands).
This to-scale comparison of Yemen vs. Cayman Islands uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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