Wikipedia is not infallible but it says Sanskrit sources had one or two digits of pi:
"In India around 600 BC, the Shulba Sutras (Sanskrit texts that are rich in mathematical contents) treat π as (9785/5568)2 ≈ 3.088. In 150 BC, or perhaps earlier, Indian sources treat π as sqrt(10) ≈ 3.1622."
It must be pointed out that these sutras given by Tirtha Maharaja are created by the author himself, as stated in the introduction to his book, "Vedic Mathematics" (published posthumously) and are therefore not actually Vedic.
These mathematical sutras are Vedic only in the sense that they are inspired by the Vedas in the mind of one dedicated to the Vedas. Thus the title "Vedic Mathematics" is not correct.
Anyway, the source the linked article cites is
http://www.vedicsciences.net/articles/vedic-mathematics.html
which notes