Geometry: Half the circumference of a circle with a radius of 1 is exactly pi
Record for calculation: 5 trillion, by Shigeru Kondo (Japan) and Alexander J. Yee (United States) in August 2010
Record for memorization: 67,890 digits, by Chao Lu (China) in November 2005
How random? There are no occurences of the sequence 123456 in the first million digits of pi
Pi Day: In 2009, Congress voted in favor of supporting March 14 as Pi Day

Source: “The Joy of Pi,” Guinness World Records