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--- randomlengths [2021/05/06 11:09] – created frchris
+++ randomlengths [2021/05/06 13:39] (current) – frchris
@@ Line 1: / Line 1: @@
-====== Random Segments in a Square ======
+{{ ::randomlength.java |}}====== 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:
+{{::sdistance_formula.png?300|}}
 ====== 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:
+{{::screen_shot_2021-05-06_at_10.30.13_am.png?100|}}
+{{ ::randomlength.java |RandomLength.java}}