PI Day Quiz (2021)

Send an email to piday@n_______a.com with the answers.
The third, fourteenth, fifteenth, ninty-second, sixty-fifth, thirty-fifth, eighty-ninth, seventy-ningth, thirty-second, thirty-eighth, forty-sixth, twenty-sixth, forth, thirty-third person who correctly answer will get a small prize. (if there are not enough answers, then the lowest places with get a prize - starting with first, second, up to the missing ones. There are 14 prizes in total)

1. Find the next four numbers in world most popular number series ?

3141 5926 5358 9793 2384 6264 3383 2795 0288 4197 1693 9937 5105 8209 ?

2. What fraction of the circumference is the bolded arc?

3. Imagine having a rope around the world following the equator in a perfect circle (also, imagine the equator is a perfect circle). If you cut the rope and attach a one meter extension and again form a perfect full circle with the rope (with the same center as the equator), there will be a small gap between the rope and the equator all around it. How big will that gap be? (answer in meters)

4. On which date was Albert Einstein born?

Bonus question, just for fun. Given a random number generator which uniformly produces numbers between 0 and 1, how would you calculate the number PI?

While searching for the questions, we stumbled upon this interesting long article (to be read when you have free time :) )