Cocos (Keeling) Islands is about 100 times smaller than Faroe Islands.

Faroe Islands is approximately 1,393 sq km, while Cocos (Keeling) Islands is approximately 14 sq km, making Cocos (Keeling) Islands 1.01% the size of Faroe Islands. Meanwhile, the population of Faroe Islands is ~52,269 people (51,673 fewer people live in Cocos (Keeling) Islands).
This to-scale comparison of Faroe Islands vs. Cocos (Keeling) Islands uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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