Profile information you submit to Facebook will be available to users of Facebook who belong to at least one of the networks you allow to access the information through your privacy settings (e.g., school, geography, friends of friends).
Everyone in Facebook:
Your name, network names, and profile picture thumbnail will be available in search results across the Facebook network and those limited pieces of information may be made available to third party search engines. This is primarily so your friends can find you and send a friend request. People who see your name in searches, however, will not be able to access your profile information unless they have a relationship to you (friend, friend of friend, member of your networks, etc.) that allows such access based on your privacy settings.
Facebook profiles can be searched for and found using Google or other search engines. What is visible to the public is up to you and the privacy settings you choose. Generally, the public profile consists of your profile picture, your name, network, and a selection of your friends' names and photos with links to their pages.
Making changes to your Facebook privacy settings is the easiest and safest way to protect your identity and your information while using Facebook. You can easily adjust the following:
You also have the ability to block people from finding you in Facebook, seeing your profile, and communicating with you via Facebook.
Facebook Best Practice
tips from a security company on protecting your identity in Facebook
How to Use Facebook without Losing Your Job Over It
suggestions on how to use Facebook professionally and/or socially with simple steps to keep your information private
General netiquette (internet etiquette) applies in Facebook. Here are some pointers:
If you would like to deactivate your Facebook account, login and click on Account. From here, click Deactivate and confirm the action with a reason.
To fully and permanently delete your account, go to the following page: http://www.facebook.com/help/contact.php?show_form=delete_account and select Remove My Account From Facebook. This action does take 2-3 days, but will result an in the removal of all of your information from Facebook's site.