> Given a latitude-longitude point, is there an easy code that I can use to
> determine whether or not that point is within the bounds of the
> user-defined geometrical shape?

Search for 'point in polygon'
useful examples
http://alienryderflex.com/polygon/
http://groups.google.com/group/google-maps-js-api-v3/browse_thread/thread/b2aeb4f444dbe410/e159b0f5c9248c09

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