A regular hexagon has a radius of 20cm. Find the lengths of the apothem and a side of the hexagon.
Remember that
A regular hexagon can be divided into six equilateral triangles
where
the side of the equilateral triangle is equal to the length side of the regular hexagon and the height of the equilateral triangle is equal to the apothem
in this problem
the radius of the polygon is equal to the length side of the equilateral triangle
therefore
the side of the regular hexagon is 20 cm
part 2
Find the apothem
see the attached figure to better understand the problem
Applying Pythagorean Theorem
20^2=10^2+a^2
a^2=20^2-10^2
a^2=300
a=√300 cm
simplify
a=10√3 cm -----> apothem