Question

What is the area of a regular hexagon with a distance from its center to a vertex of 1 cm? (Hint: A regular hexagon can be divided into six equilateral triangles.)

hex

The area of the regular hexagon
is _____ ?

Answer 1

well, we need the area of an equilateral triangle with sides of one cm. Then we multiply by six

for altitude
sin 30 = (1/2)/1
cos 30 = h/1
h=.866
so
area of triangle = (1/2)(1)(.866)
= .433
then multiply by six
6*.433 = 2.6 cm^2

Answer 2

so whats the answer ?