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# General Polygons

Convex and concave, regular and irregular, similar and congruent – learn every variety of polygon you can encounter.

# General Polygons: Level 2 Challenges

The following figure shows an irregular hexagon with six circles of radius 1 where the hexagon's vertices are circles' centers.

Find sum of the areas of the black regions.

True or False?

$$\quad$$ Statement I: If all sides of a polygon are equal, then all angles of the polygon are equal.

$$\quad$$ Statement II: If all angles of a polygon are equal, then all sides of the polygon are equal.

I am a peculiar quadrilateral. If you put 3 copies of me together, then I can form an equilateral triangle. Similarly, if you put 3 copies of an equilateral triangle together, then they can form me!