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anonymous

  • 5 years ago

Find the area of a regular hexagon with sides 12 ft

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  1. anonymous
    • 5 years ago
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    A = 1/2 ap

  2. anonymous
    • 5 years ago
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    Any takers!

  3. anonymous
    • 5 years ago
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    Help me....

  4. radar
    • 5 years ago
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    I'm thinking lol

  5. radar
    • 5 years ago
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    We need to calculate height: The height is \[\sqrt{12^{2}-6^{2}}=\sqrt{144-36}=\sqrt{108}\]

  6. anonymous
    • 5 years ago
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    oh thank you radar.... I think this is the last one! Cause I quit! LOL

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

  8. radar
    • 5 years ago
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    s is side length, h is height A is area.

  9. anonymous
    • 5 years ago
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    ok

  10. amistre64
    • 5 years ago
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    you gots it?

  11. anonymous
    • 5 years ago
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    shhhh... no lol

  12. amistre64
    • 5 years ago
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    hex=6 sides right?

  13. anonymous
    • 5 years ago
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    yeppers

  14. amistre64
    • 5 years ago
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    360/6 = 60 degrees for central angles then and an outer side at 12; law of cosines modified will give us lengths of sides

  15. amistre64
    • 5 years ago
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    12^2 = 2s^2 - 2(s)(s)(cos(60))

  16. amistre64
    • 5 years ago
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    144 = 2s^2 (1 - cos(60)) 144/ (1 - cos(60)) = 2s^2 144/ (1 - cos(60)) ---------------- = s^2 2 s = sqrt(all that) lol

  17. anonymous
    • 5 years ago
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    yikes not diggin the cos stuff....

  18. amistre64
    • 5 years ago
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    6.0726801....

  19. amistre64
    • 5 years ago
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    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

  20. anonymous
    • 5 years ago
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    oh danger... I think the answer is going to be ?\[\sqrt{?}\]

  21. anonymous
    • 5 years ago
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    lol

  22. amistre64
    • 5 years ago
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    it might be :)

  23. anonymous
    • 5 years ago
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    is that 6.0726801 the area?

  24. amistre64
    • 5 years ago
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    thats the length of a side

  25. anonymous
    • 5 years ago
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    ewe

  26. amistre64
    • 5 years ago
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    we got an isoceles trianlgle with a base of 12 and a top angle of 60

  27. amistre64
    • 5 years ago
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    if I know the length of the sides I can caluclate the area for on tri pieces of the hex

  28. anonymous
    • 5 years ago
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    216 square root 3

  29. amistre64
    • 5 years ago
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    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))

  30. amistre64
    • 5 years ago
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    s*s*sin(60) ---------- = area of tri piece; 6 of those is the whole thing right? 2

  31. anonymous
    • 5 years ago
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    right cause its a 6 sided polygon?!

  32. amistre64
    • 5 years ago
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    sqrt*sqrt = innards

  33. amistre64
    • 5 years ago
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    yes

  34. amistre64
    • 5 years ago
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    that 2cos is a typo.... that denom is sposed to be 1-cos(60)

  35. amistre64
    • 5 years ago
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    72 sin(60) ------------ = area of tri 2 (1-cos(60)) 36 sin(60) ----------- (1-cos(60)) 36 (sqrt(3)/2) ------------- (1-(1/2))

  36. amistre64
    • 5 years ago
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    18 sqrt(3) --------- = 36sqrt(3) right? 1/2

  37. amistre64
    • 5 years ago
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    times 6 = 216 sqrt(3)

  38. anonymous
    • 5 years ago
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    lol here... A = 1/2 ap A= 1/2 (6sqrt3)(72) 216sqrt3 = 374.1cm sq

  39. anonymous
    • 5 years ago
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    YOU GOT IT!!!!!!!!!!!!!

  40. amistre64
    • 5 years ago
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    I did lol

  41. anonymous
    • 5 years ago
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    and it matches mine :) Good Business! You soooo hired!! LOL

  42. anonymous
    • 5 years ago
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    are

  43. amistre64
    • 5 years ago
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    yay!!.... and i did it all with one brain cell tied behind my cerebellum ;)

  44. anonymous
    • 5 years ago
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    Hilarious!! You rock!

  45. amistre64
    • 5 years ago
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    gotta go write some homework.... have fun ;)

  46. anonymous
    • 5 years ago
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    thank you!

  47. radar
    • 5 years ago
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    I was right, he got the same answer lol

  48. radar
    • 5 years ago
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    How did it become centimeters, I thought it was 12 ft

  49. anonymous
    • 5 years ago
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    ft squared lol

  50. radar
    • 5 years ago
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    Great, good luck with your studies.

  51. anonymous
    • 5 years ago
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    ha thanks

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