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. Pi shows up many places in physics, including simple harmonic motion. Given a simple pendulum of length h, what is the period for a small oscillation (the period is the time it takes to complete one full oscillation)? 3c/(pi*h^2), where c is the speed of light 2*pi*sqrt(h/g), where g is the gravitational constant e^(pi*h), where e is the base of the natural logarithm h/pi (27*pi^2)/(h*[g^2]*[e*c]^3) 2. 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) 2*pi feet 2*pi*R feet, where R is the radius of the earth pi*R^2 feet pi + D feet, where D is the diameter of the earth pi/2 feet 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? Archimedes of Syracuse Plato Pythagoras Socrates Murray Gell-Mann 4. 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 5. Consider the following series of natural numbers, constructed by taking successively larger strings of digits from the beginning of the decimal expansion of the number pi:3, 31, 314, 3141, 31415, 314159, 3141592, etc.Out of the first 1000 numbers in this series, how many are primes? (for example, the first two numbers, 3 and 31, are both primes) 48 34 4 21 58