What is the area of a regular hexagon?

Question

anonymous · Answer

3*sqrt(3)/2 * a*a

anonymous · Answer

The area of a regular hexagon of side length x  is given by :
$$A=3\sqrt{3}/2 *x ^{2}$$

anonymous · Answer

Thankyou.

anonymous · Answer

How Can I derive the area of regular Hexagon?

amistre64 · Answer

just for kicks ...

it is the area of 2 iso traps:

the area of an iso trap is (b1+b2)h/2

b1 = 2s; b2 = s; h=s*sqrt(3)/2 (or s*sin(60))

(2s+s)(s)(sqrt(3))       (3s)(s)(sqrt(3))        3s^2 sqrt(3)
--------------- =  ------------- =  -----------
           2                             2                         2

amistre64 · Answer

dropped a 2 lol ; divided by 4

amistre64 · Answer

then double it to get:  3s^2 sqrt(3)/2

anonymous · Answer

Sorry! that was easy thanks.........I should have tried it on my own

amistre64 · Answer

it was easy :)  i think most people do it with the area of each triangle piece and multiply by 6 to get the same results