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. For many years, it has been conjectured but unproven that pi is normal in base 10. What does normal mean?




2. 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:




3. Who, in 1706, first gave the Greek letter "pi" its current mathematical definition?




4. 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 + ...?




5. Say you have a rope wrapped tightly around the earth at the equator. How much longer would you have to make the rope if you wanted the rope to be exactly 1 foot above the surface the whole way around? (assume that the earth has a constant radius at the equator)





eve@eveandersson.com