A clock has an hour, minute, and second hand, all of length 1. Let T be the triangle formed by the ends of these hands. A time of day is chosen uniformly at random. What is the expected value of the area of T?

(In reply to Computer method by Larry)

"The problem is equivalent to placing 3 random  points on a unit circle"

Posted by Brian Smith on 2023-08-23 11:54:42