Find the area of a regular hexagon with sides 12 ft

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Find the area of a regular hexagon with sides 12 ft

Mathematics
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A = 1/2 ap
Any takers!
Help me....

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Other answers:

I'm thinking lol
We need to calculate height: The height is \[\sqrt{12^{2}-6^{2}}=\sqrt{144-36}=\sqrt{108}\]
oh thank you radar.... I think this is the last one! Cause I quit! LOL
Area for a regular hexagon is: A= 1/2 (6sh) A=.5 x6 x 12 x sqrt 108=374.123 sq ft
s is side length, h is height A is area.
ok
you gots it?
shhhh... no lol
hex=6 sides right?
yeppers
360/6 = 60 degrees for central angles then and an outer side at 12; law of cosines modified will give us lengths of sides
12^2 = 2s^2 - 2(s)(s)(cos(60))
144 = 2s^2 (1 - cos(60)) 144/ (1 - cos(60)) = 2s^2 144/ (1 - cos(60)) ---------------- = s^2 2 s = sqrt(all that) lol
yikes not diggin the cos stuff....
6.0726801....
all that does is give me a side to go off of to caluclate the area of one tri and then gonna multiply by 6 for the whole thing
oh danger... I think the answer is going to be ?\[\sqrt{?}\]
lol
it might be :)
is that 6.0726801 the area?
thats the length of a side
ewe
we got an isoceles trianlgle with a base of 12 and a top angle of 60
if I know the length of the sides I can caluclate the area for on tri pieces of the hex
216 square root 3
12^2 = s^2 + s^2 - 2ss cos(60) 144 = 2s^2 - 2s^2 cos(60) 144 = 2s^2(1 - cos(60)) 144 ---------- = 2s^2 (1-2cos(60)) 72 ---------- = s^2 (1-2cos(60)) 72 sqrt[ ----------- ] = s (1-2cos(60))
s*s*sin(60) ---------- = area of tri piece; 6 of those is the whole thing right? 2
right cause its a 6 sided polygon?!
sqrt*sqrt = innards
yes
that 2cos is a typo.... that denom is sposed to be 1-cos(60)
72 sin(60) ------------ = area of tri 2 (1-cos(60)) 36 sin(60) ----------- (1-cos(60)) 36 (sqrt(3)/2) ------------- (1-(1/2))
18 sqrt(3) --------- = 36sqrt(3) right? 1/2
times 6 = 216 sqrt(3)
lol here... A = 1/2 ap A= 1/2 (6sqrt3)(72) 216sqrt3 = 374.1cm sq
YOU GOT IT!!!!!!!!!!!!!
I did lol
and it matches mine :) Good Business! You soooo hired!! LOL
are
yay!!.... and i did it all with one brain cell tied behind my cerebellum ;)
Hilarious!! You rock!
gotta go write some homework.... have fun ;)
thank you!
I was right, he got the same answer lol
How did it become centimeters, I thought it was 12 ft
ft squared lol
Great, good luck with your studies.
ha thanks

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