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![br]Hint: Use the checkboxes to show the biggest possible area of each polygon.

What do you notice? Write down your conjecture![br]What do you assume about the biggest possible area of an arbitrary polygon in which all vertices lie on a circle?[br][br]For advanced students: Try to calculate the biggest possible areas yourself in order to check the values below the checkboxes.