No. "Circa" means "approximately" so whenever you use it, you are conveying that you don't know the exact year.
Hope that helps.
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Yes, bankers use fractions because fractions are the same as percentage. and they need percentage for exact change and for knowing how much money is in the safe.
that we can use it
To "put to good use" is to "utilize" or "employ" something. Depending on the exact usage of the phrase, you could also use "corporate-speak" and say that an item has been "repurposed". I don't think there is an exact parallel phrase that implies both an items "use" as well as how "good" it was for that purpose. 'Utilize' compares most because the word means that the item was at least useful for the task in question.
Use 365 days for the number of days in a year
None. If you have an exact relationship - whether it is linear, polynomial, logarithmic or whatever - probability has no role to play.