 ## The Pi Trivia Game

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 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. Among the digits of pi currently known, the concentrations of each of the digits 0 - 9 are pretty much equal. However, in the first 30 digits of pi's decimal expansion, one number is conspicuously missing. Which number is it? 7 2 0 8 6 2. What is the value of e^(i*pi)? the square root of -1 approximately 10 pi squared -1 1.414 3. What rapidly converging formula for calculation of pi was found by Machin in 1706? pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... pi/4 = 4 * arctan (1/5) - arctan (1/239) e^(i*pi) = -1 pi = 3 (close enough) pi = 4 * arctan 1 4. One way to calculate the value of pi is to find the perimeter of polygons inscribing and circumscribing a circle. The circumference of the circle lies in between those two values, and the values approach pi as the number of sides of the polygon approaches infinity. Who originated this method of pi approximation? Archimedes of Syracuse Plato Pythagoras Socrates Murray Gell-Mann 5. It has been proven impossible to "square the circle." What does it mean to square the circle? multiply a circle by itself use a straightedge and compass to construct a square equal in area to a given circle construct a square that perfectly circumscribes a circle determine the value of pi squared draw a circle with area equal to pi * (r squared)