Please answer this question

Asked by Abhijeetoo7 | 6th Jul, 2008, 02:03: PM

Expert Answer:

In the case of a regular hexagon the formula can be derived by 
thinking of six equilateral triangles meeting at a point.
Let r = the side of the triangle; then the area of each triangle is 
(1/2)r^2*sin(pi/3) = (1/2)r^2*sqrt(3)/2 = (1/4)r^2*sqrt(3).

For six such triangles the area = (3/2)r^2*sqrt(3)
(3/2)r^2*sqrt(3) = 24 sqrt 3
r = 4cm
perimeter = 4*6 = 24cm

Answered by  | 6th Jul, 2008, 02:58: PM

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