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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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2 answers
  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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