## Elementary Geometry for College Students (6th Edition)

r=6 a=3$\sqrt 3$
Two consecutive radii and a side of a regular hexagon form an equilateral triangle. Therefore the radius and side is congruent. r=s r=6 The apothem splits the equilateral triangle into two 30 60 90 triangles where the apothem is the long leg. Therefore the apothem is equal to half of the side multiplied by the square root of 3. a=.5s($\sqrt 3$) a=3$\sqrt 3$