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OpenSessame Group Title

Find the area of the regular polygon. Give the answer to the nearest tenth. Decagon with a side of 4 cm.

  • one year ago
  • one year ago

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  1. OpenSessame Group Title
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    Can you help please??

    • one year ago
  2. OpenSessame Group Title
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    @koymoi can you help?

    • one year ago
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    I know the answer i just dont get how to get there.

    • one year ago
  4. koymoi Group Title
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    do you know how many sides a decagon has

    • one year ago
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    10?

    • one year ago
  6. koymoi Group Title
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    yes, now how many triangles of the same shape can we get from a decagon? I will give you lil bit hint in the pic below:

    • one year ago
  7. koymoi Group Title
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    |dw:1376882655959:dw|

    • one year ago
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    10

    • one year ago
  9. koymoi Group Title
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    ok, now what we need to do is to figure out how to work out the area of one of those little triangle.

    • one year ago
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    Okay...

    • one year ago
  11. koymoi Group Title
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    to do that, we need to get each inner angle of the decagon first. use this formula: 180(n-2)÷n n=sides in this case, since decagon has 10 sides, so n=10

    • one year ago
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    144

    • one year ago
  13. koymoi Group Title
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    |dw:1376883184207:dw|

    • one year ago
  14. koymoi Group Title
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    |dw:1376883372359:dw|

    • one year ago
  15. OpenSessame Group Title
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    No clue

    • one year ago
  16. koymoi Group Title
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    |dw:1376883474402:dw|

    • one year ago
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    okay so the angle would be 72?

    • one year ago
  18. koymoi Group Title
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    |dw:1376883661743:dw|

    • one year ago
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    Uhm...Its the same length on both sides...right?

    • one year ago
  20. koymoi Group Title
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    right.

    • one year ago
  21. OpenSessame Group Title
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    Would i use trig?

    • one year ago
  22. koymoi Group Title
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    yes you would;)

    • one year ago
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    |dw:1376884123072:dw|

    • one year ago
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    Wouldnt you need to know the interior angle though?

    • one year ago
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    Wait its regular so all of them are the same!

    • one year ago
  26. koymoi Group Title
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    that triangle is isosceles triangle, not equilateral triangle

    • one year ago
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    But its a regular decagon...

    • one year ago
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    |dw:1376884408466:dw|

    • one year ago
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    |dw:1376884457513:dw|

    • one year ago
  30. koymoi Group Title
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    yes thats why its isosceles. the only way to make it equilateral is when all the interior angles equals to 60 degrees.

    • one year ago
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    OHH...

    • one year ago
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    I meant the outside angles lol

    • one year ago
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    I got 6.47

    • one year ago
  34. koymoi Group Title
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    |dw:1376884560108:dw|

    • one year ago
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    OHH...6.15?

    • one year ago
  36. koymoi Group Title
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    |dw:1376884812109:dw|

    • one year ago
  37. koymoi Group Title
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    and since we have 10 of them triangles, so you just multiply by 10 to get the area of the decagon.

    • one year ago
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    1.9?

    • one year ago
  39. koymoi Group Title
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    what is tan72 ?

    • one year ago
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    3.07768

    • one year ago
  41. koymoi Group Title
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    |dw:1376885258455:dw|

    • one year ago
  42. koymoi Group Title
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    now times 10

    • one year ago
  43. koymoi Group Title
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    and dont forget to round it to the nearest tenth

    • one year ago
  44. OpenSessame Group Title
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    61.55?

    • one year ago
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    I think i get it now since i know the final answer. THANKS:)

    • one year ago
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