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Regular Polygon Formulas A regular polygon is a polygon that is scholarship essay examples 250 words equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are portal 2 developer console cheats equal. The above figure shows a regular octagon. The outer circle surrounding it is called a circumscribed circle (or circumcircle) and the inner circle which is surrounded by the esssy is called the inscribed circle (or incircle).