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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.
 11 months ago
 11 months 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.
 11 months ago
 11 months ago

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

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@koymoi can you help?
 11 months ago

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I know the answer i just dont get how to get there.
 11 months ago

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

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

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Okay...
 11 months 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
 11 months ago

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

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

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

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

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okay so the angle would be 72?
 11 months ago

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

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Uhm...Its the same length on both sides...right?
 11 months ago

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Would i use trig?
 11 months ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
yes you would;)
 11 months ago

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dw:1376884123072:dw
 11 months ago

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Wouldnt you need to know the interior angle though?
 11 months ago

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Wait its regular so all of them are the same!
 11 months ago

koymoi Group TitleBest ResponseYou've already chosen the best response.4
that triangle is isosceles triangle, not equilateral triangle
 11 months ago

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But its a regular decagon...
 11 months ago

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dw:1376884408466:dw
 11 months ago

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dw:1376884457513:dw
 11 months 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.
 11 months ago

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OHH...
 11 months ago

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I meant the outside angles lol
 11 months ago

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I got 6.47
 11 months ago

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

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

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

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

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3.07768
 11 months ago

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

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

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

OpenSessame Group TitleBest ResponseYou've already chosen the best response.0
61.55?
 11 months ago

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I think i get it now since i know the final answer. THANKS:)
 11 months ago
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