The Pi Trivia Game

by Eve Andersson

     

Home : Pi : The Pi Trivia Game


Finally this is your chance to pay tribute to the magnificent transcendental number that we have all grown to love! Here are 25 questions (given to you 5 at a time), picked randomly from my pi question database. Get ready for the thrill of your lifetime, the ultimate challenge, The Pi Trivia Game!

1. One way to approximate the value of pi is to have a computer pick two random numbers, x and y, each between -1 and 1. If it does so N times, and if, for M of those times x^2 + y^2 < 1, then pi is approximately equal to 4*M/N (presumably becoming more accurate as N increases). This method of approximation is an example of:




2. What 1768 proof about pi is the German mathematician Johann Lambert famous for?




3. Pi is ubiquitous in the branch of mathematics known as statistics. The maximum height of what famous curve is equal to 1/sqrt(2*pi)?




4. Which of the following fractions most closely approximates pi?




5. If you were writing a computer program with the intention of breaking the world record for calculating the most digits of pi, why would it be foolish for you to use the well-known formula pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...?





eve@eveandersson.com