OpenID
OpenID is about authentication (ie. proving who you are), OAuth is about authorisation (ie. to grant access to functionality/data/etc.. without having to deal with the original authentication).
OAuth
OAuth could be used in external partner sites to allow access to protected data without them having to re-authenticate a user.
The blog post “OpenID versus OAuth from the user’s perspective” has a simple comparison of the two from the user’s perspective and “OAuth-OpenID: You’re Barking Up the Wrong Tree if you Think They’re the Same Thing” has more information about it.