And who's the infallible judge on how precise this approximation need be? As we know pi is a repeating decimal. The only perfect representation of pi would take an infinite number of decimal places. How many decimal places do you demand of God to meet your standard of preciseness? If the infinite God decided for this purpose that this, the correct approximation to an integer, was a close enough approximation, who are we to demand more? As Deuteronomy 6:16 states:
Ye shall not tempt the LORD your God