How to Find Apothem?

For a regular polygon, identify the center of the polygon

Draw a line from the center to the midpoint of any side

The length of that line is the apothem

If the side length and number of sides are known, use the formula: apothem = side length / (2 × tan(180° / number of sides))

If the area and perimeter are known, use the formula: apothem = 2 × area / perimeter

If the radius and number of sides are known, use trigonometric relationships to find the apothem

For a square, the apothem equals half the side length

For a regular hexagon, the apothem equals side length × √3 / 2

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