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/f2wpged2]Circle Area #1 ('unrolling')[/url] construction for a different way of illustrating the same formula.