The Pi Trivia Game

by Eve Andersson

     

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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. 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. How does one convert pi in base 10 to base 2?




3. 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?




4. At which decimal of pi does the earliest occurrence of the string 999999 begin?




5. Are pi's digits periodic?





eve@eveandersson.com