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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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The approximation formula could use extra parentheses, to reduce ambiguity.
Currently, it says "π * (3/2(a+b) - sqrt(ab))"
Perhaps it should say "π * ((3/2)(a+b) - sqrt(ab))"
Just to be clear that it isn't 3/(2(a+b))