# 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 _____ ?

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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

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2. so whats the answer ?

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