Maximum area
This applet is about inscribing a triangle, a quadrilateral and a pentagon in a circle of radius 1. Move the blue points in order to maximize each area!
Hint: Use the checkboxes to show the biggest possible area of each polygon.
What do you notice? Write down your conjecture!
What do you assume about the biggest possible area of an arbitrary polygon in which all vertices lie on a circle?
For advanced students: Try to calculate the biggest possible areas yourself in order to check the values below the checkboxes.