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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
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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OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
Can you help please??
 one year ago

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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

koymoi Group TitleBest ResponseYou've already chosen the best response.4
do you know how many sides a decagon has
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
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

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376882655959:dw
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
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

koymoi Group TitleBest ResponseYou've already chosen the best response.4
to do that, we need to get each inner angle of the decagon first. use this formula: 180(n2)÷n n=sides in this case, since decagon has 10 sides, so n=10
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376883184207:dw
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376883372359:dw
 one year ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
No clue
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376883474402:dw
 one year ago

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okay so the angle would be 72?
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376883661743:dw
 one year ago

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

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Would i use trig?
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
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

koymoi Group TitleBest ResponseYou've already chosen the best response.4
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

koymoi Group TitleBest ResponseYou've already chosen the best response.4
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

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376884560108:dw
 one year ago

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
OHH...6.15?
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376884812109:dw
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
and since we have 10 of them triangles, so you just multiply by 10 to get the area of the decagon.
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
what is tan72 ?
 one year ago

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3.07768
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
dw:1376885258455:dw
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
now times 10
 one year ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
and dont forget to round it to the nearest tenth
 one year ago

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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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