Table of Contents
Random Segments in a Square
Pick two random points in a unit square. Find the distance between them. Do this a few million times to answer the question, “What is the average length of a random segment inside a square?”
Helpful formula:
Random Chords
Pick two points on a unit circle. Find the length of the cord. Do this a few million times to answer the question, “What is the average length of the chord?”
Hint about getting random points on unit a circle:
Get a random number from 0 to 2*Math.PI to be a random angle (in radians, which is what you need in Java. Then get your x and y coordinates with sine and cosine:
