An n-sided regular polygon is inscribed in a similar regular polygon.[br][br]You can choose the number of sides [from 3 to 12] using the slider.[br][br]You can vary the inscribed polygon by dragging the GOLD dot.[br][br]As a function of the number of sides and the position of the GOLD dot - [br][br]- what fraction of the area of the Blue polygon is covered by the Green polygon? [br][br]- what is the ratio of the perimeters of the two polygons?[br][br]What other questions [could,would] you ask?

Adapted from an applet by Jessica Layton