The applet has a circle with an inscribed n-gon.

Play around with the "n" slider. After exploring with the slider, what do you think "n-gon" means? What do you think inscribed means?

Click the "Show area of circle" button. Continue to play around with the sliders.

Make a guess: How you you think the number of n sides of the n-gon relate to the circumference of the circle? How could we relate the n-gon to the area of the circle?

Click the "Show n-gon area" button. Continue to play around with the sliders.

What happens to the area of the n-gon as the n-slider is big? How does it relate to the area of the circle?

Reflection: What would happen if n could be infinitely big? Would the approximation be closer to the area of the circle? Why?