## Notes

### Code

Here's a Python implementation of the algorithm we developed:

1. Consider a regular $$n$$-gon inscribed in a circle of radius 1: Show that its perimeter is given by $$2n \sin\left(\frac{360^\circ}{2n}\right).$$
2. Recall that $$\Twopi$$ is defined to be the circumference of a unit circle, and $$\pi$$ is defined to be half this quantity. Compute approximate values of $$\Twopi$$ and $$\pi$$ (to 4 decimal points, say).