Question

Find the area of a regular hexagon with sides 12 ft

Answer 1

A = 1/2 ap

Answer 2

Any takers!

Answer 3

Help me....

Answer 4

I'm thinking lol

Answer 5

We need to calculate height: The height is \[\sqrt{12^{2}-6^{2}}=\sqrt{144-36}=\sqrt{108}\]

Answer 6

oh thank you radar.... I think this is the last one! Cause I quit! LOL

Answer 7

Area for a regular hexagon is: A= 1/2 (6sh)
A=.5 x6 x 12 x sqrt 108=374.123 sq ft

Answer 8

s is side length, h is height A is area.

Answer 9

ok

Answer 10

you gots it?

Answer 11

shhhh... no lol

Answer 12

hex=6 sides right?

Answer 13

yeppers

Answer 14

360/6 = 60 degrees for central angles then and an outer side at 12; law of cosines modified will give us lengths of sides

Answer 15

12^2 = 2s^2 - 2(s)(s)(cos(60))

Answer 16

144 = 2s^2 (1 - cos(60))

144/ (1 - cos(60)) = 2s^2

144/ (1 - cos(60))
---------------- = s^2
2

s = sqrt(all that) lol

Answer 17

yikes not diggin the cos stuff....

Answer 18

6.0726801....

Answer 19

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

Answer 20

oh danger... I think the answer is going to be ?\[\sqrt{?}\]

Answer 21

lol

Answer 22

it might be :)

Answer 23

is that 6.0726801 the area?

Answer 24

thats the length of a side

Answer 25

ewe

Answer 26

we got an isoceles trianlgle with a base of 12 and a top angle of 60

Answer 27

if I know the length of the sides I can caluclate the area for on tri pieces of the hex

Answer 28

216 square root 3

Answer 29

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))

Answer 30

s*s*sin(60)
---------- = area of tri piece; 6 of those is the whole thing right?
2

Answer 31

right cause its a 6 sided polygon?!

Answer 32

sqrt*sqrt = innards

Answer 33

yes

Answer 34

that 2cos is a typo.... that denom is sposed to be 1-cos(60)

Answer 35

72 sin(60)
------------ = area of tri
2 (1-cos(60))



36 sin(60)
-----------
(1-cos(60))


36 (sqrt(3)/2)
-------------
(1-(1/2))

Answer 36

18 sqrt(3)
--------- = 36sqrt(3) right?
1/2

Answer 37

times 6 = 216 sqrt(3)

Answer 38

lol here...
A = 1/2 ap
A= 1/2 (6sqrt3)(72)
216sqrt3 = 374.1cm sq

Answer 39

YOU GOT IT!!!!!!!!!!!!!

Answer 40

I did lol

Answer 41

and it matches mine :) Good Business! You soooo hired!! LOL

Answer 42

are

Answer 43

yay!!.... and i did it all with one brain cell tied behind my cerebellum ;)

Answer 44

Hilarious!! You rock!

Answer 45

gotta go write some homework.... have fun ;)

Answer 46

thank you!

Answer 47

I was right, he got the same answer lol

Answer 48

How did it become centimeters, I thought it was 12 ft

Answer 49

ft squared lol

Answer 50

Great, good luck with your studies.

Answer 51

ha thanks