# What is the apothem of a polygon? Thank you very much....

Defined only for *regular* polygons, *apothema* is a segment from a center of a polygon to a midpoint of any side.

Here is the apothema of a regular octagon:

Apothema is also a radius of an *inscribed circle* and the shortest segment that connects a center of a regular polygon with points on its sides.

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The apothem of a polygon is the perpendicular distance from the center of the polygon to one of its sides. It is the radius of the inscribed circle within the polygon, which is the largest circle that can fit entirely inside the polygon and touches each side exactly once.

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