Circumference and Area
Visualization
1. Circumference of a Unit Circle
As the number of edges increases, what value does the perimeter of the polygon seem to approach? What do you think this has to do with the circumference of a unit circle?
2. Circumference of Any Circle
How would your perimeter calculations change if the radius of the circle were 3 instead of 1? What happens when you generalize to a radius of r?
3. Area of a Unit Circle
As the number of edges increases, what value does the area of the polygon seem to approach? What do you think this has to do with the area of a unit circle?
4. Area of Any Circle
How would your area calculations change if the radius of the circle were 3 instead of 1? What happens when you generalize to a radius of r?