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Activity 4: Circling the square (Apastamba sulbasutra)

If it is desired to transform a square into a circle, [a cord of length] half the diagonal [of the square] is stretched from the centre to the east [a part of it lying out­ side the eastern side of the square]; with one-third [of the part lying outside] added to the remainder [of the half diagonal], the [required] circle is drawn. Answer the question in PollsEverywhere: what is the value of π in this construction?