I personally set my privacy settings so that only "Friends of Friends" can send me a friend request, and so that my FB page doesn't come up in search engine searches. I also limit my friends to people I know personally (with a few exceptions). There is nothing on my FB page that I worry that other people would find out; I just like keeping my circle tight.
If you want to have more control over who finds your FB page, you can try those options to see if it gives you the control you are looking for.
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