Answer
r=$\frac{20\sqrt 3}{3}$
s=$\frac{20\sqrt 3}{3}$
Work Step by Step
The radius and side of a regular hexagon are congruent. the apothem is the altitude of an equilateral triangle formed by its two surrounding radii and connected side. Therefore the apothem is the long leg of a 30 60 90 triangle with a radius for a hypotenuse.
a=.5s$\sqrt 3$
20=s$\sqrt 3$
s=$\frac{20\sqrt 3}{3}$
r=s=$\frac{20\sqrt 3}{3}$
