Given that [math]\pi[/math] is defined to be ratio of [math]\frac{circumference}{diameter}[/math] for any circle, this construction is intended to intuitively show why the formula for the area of a circle is ________________.

See [url=https://www.geogebra.org/m/bzu6dfr6]Circle Area #2 (sectors/"pizza slices")[/url] construction for a different way of illustrating the same formula.[br]See [url=https://www.geogebra.org/m/fp27fztp]Derivative of Circle Area[/url] construction for a calculus perspective on this concept.