A druid can't cast the magic circle against evil and dimensional anchor spells as far as I know. (I'm not sure there is an archtype which gives those spells). Does the druid has spells which mimic the effect of these spells or should I do some spell research to learn those spells? They are divine spells, so a druid should be able to cast them right? :-)
What i forgot to say, the reason for these spells is that were going demon hunting. Other ways for a druid and a ranger to trap a demon are also welcom :-)
Druids have great power over the natural world: one of the differences between them and clerics is that they don't have much ability to influence extraplanar/otherdimensional/occult entities that are not "natural" in one way or another. You might talk with your GM about researching those spells, but AFAIK there's nothing in the book that they can do about it.
In general, a druid's approach to dealing with demons is to find some way to kill them before they can teleport out -- use energy damage of some type, or buff your friend or animal companion, or summon creatures to grapple them, etc.
Maybe talk to your local wizard or cleric about providing a scroll or wand or something that you can use (one possibility is to try and UMD something.)