Two Points in a Square

Main Concepts

Multiple Integration

Excel / Numbers spreadsheet


30 minutes in class + more if we do the extensions

Summary of Activity

Students are asked to create a Numbers spreadsheet (or Excel spreadsheet) using a few functions to approximate the average distance between two random points in a square. We then watch the video by MindYourDecisions on youtube that shows the calculus to solve the problem.

Notes and Insights

Two extensions are possible. Solve the same problem with two random points in a circle. It is more complicated to decide on what a random point is. Secondly students are invited to read about the Bertrand paradox.