According to some, 37/38 decimal places is where additional information, even at cosmic scale, becomes fairly useless.
At 15 decimal places, you can calculate a circle from Earth around the Voyager 1 probe, and find the circumference with an error of about half an inch. (About 15 billion miles/24 billion km in radius)
So to say you need even 9 decimal places of precision while using pi for anything on earth, would be excessive.