Apothems

The apothem of a regular polygon is the distance from the center to the midpoint of one of its sides.

The apothem of a square is equal to half of the length of one side.

Calculate the apothem of a square with a side of 6 cm.

a = 6/2 = 3 cm

By applying the Pythagorean theorem for one of the triangles, we obtain:

Apothem of a Regular Polygon

Calculate the apothem of a regular pentagon with a side of 6 cm.

The radius of a regular hexagon is equal to the side.

Apply the Pythagorean theorem for the triangle:

Apothem of a Regular Hexagon

Find the apothem of a regular hexagon inscribed in a circle with a radius of 4 cm.