Here is somethign I am wrestling with conceptually because it should work theoretically I think but it does not

since $\displaystyle A_{\text{regular polygon}}=\frac{1}{4}n\cdot{b^2}\cdot\cot\bigg(\fr ac{\pi}{n}\bigg)$

Where n is number of sides and b is sidelength

Shouldnt $\displaystyle \lim_{n\to\infty}\lim_{b\to{0}}\frac{1}{4}n\cdot{b ^2}\cdot\cot\bigg(\frac{\pi}{n}\bigg)$

Describe a circle?