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An apothem is a line drawn perpendicular to a side of a regular polygon from the center of the polygon. A polygon is not a circle so it cannot have a radius. The radius of a circle is drawn from the center to any point in the circumference of the circle. You can draw a circle which encloses the regular polygon touching all vertices. The polygon is said to be inscribed in the circle. The apothem will be less than the radius because the radius is not perpendicular to any side, it can be drawn to a vertex but the apothem is perpendicular to a side, so it is shorter. Ex: draw a square with a circle which inscribes it. You can see that the apothem will be less than the radius.
The perimeter of a hexagon with an apothem of 12 is 83.14
Perimeter = 2*Area/Apothem.
The apothem, for a circle, is the perpendicular distance from a chord to the centre of the circle.
First you must determin what the "apothem" is, and by that i mean what the hell that word means.