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Step 1:

Regular polygons tend to look like someone tried to make a circle out of some straight lines.

In fact, if you have a polygon with very many sides, it looks a lot like a circle from a distance.

The sides and vertices are evenly spread around a central point, and regular polygons are convex all the vertices point " outwards ".

In the regular polygon, we can change the number of sides using the controls on the right of the polygon.

An interesting thing to note is that once the number of sides is quite high (say more than 17) the shape begins to look a lot like a circle.

In fact, as you keep adding sides, the area of the polygon, the area of its incircle, and the area of its circumference all converge on the same value.