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Ok how does angle C equal 20 and PS is 5?

Unkle it's not that hard come on...

wait what so how its it 20 on there?

did you simplify \(\angle C =\frac{360°}{18}=\dots\)

ohhh

\[36=2\times18\]
\[360=2 \times 18\times10\]

How would you find the area?

|dw:1338432746562:dw|

ok wait

I have a diferent problem on my notes.. Same shape but it says each side = 4

What is the area.

|dw:1338433164896:dw|

like that

you can find length CS = a
using a trigonometric function of the angle 20°

Lets say the question only give you the length of one side is 4

How would you go about finding the area?

|dw:1338432905847:dw|

|dw:1338433361442:dw|

Half of one side is 2.

\[\tan(20°)=\frac{\text{opposite}}{\text{adjacent}}=\frac5a\]
\[a=\frac 5{\tan(20°)}\neq4\]

or is the 4 coming from a different problem/

the diagram posed at the top of the page does not have any side-
length equal to 4

4 from a different problem

OK, what is the new problem exactly/

What I drew that's all it gives me

A decagon with a side lengths of 4. Find the Area.

well the first one was a nonagon so the picture is wrong

RAWRRRRRRRRR I HATE MATH SO MUCH OMFG

|dw:1338433609250:dw|

I DONT HAVE TIME FOR THISSSS I WANNA SLEEP

Yes now find the area. Just with that information.

well should i sing you a lullaby instead ?

LOL

next find the length of the perpendicular , using the angle you just found and the tangent function

360/10 =36? When I apply the TAN to 36 it's weird...

true, what did you determine as an approximation of length b

2 significant figures is probably fine

huh? I didnt get that far becuase I thought you need to know the TAN of 36

yeah \[\tan(36°)\approx0.727\]

ok.. Let me see

\[\tan(36°)=\frac{\text{opp}}{\text{adj}}=\frac 2 b\]
\[b=\frac {2}{\tan36°}\approx\cdots\]

why is it b= 2/tan36?

Ohh I got it

so its 2.75

yes \(b\approx 2.75\)

find the area of this triangle |dw:1338435087210:dw|

\[A_{\triangle}=\frac{ab}2=\frac {2b}2=\cdots\]

you dont need the perimeter

My notes has it O.o

Maybe hes teaching it like that?

THe formula for Area is. 1/2 * Apothem * perimeter

Yeah lol same thing I got.

Well, thanks for taking like 30 minutes of your time to help me lol.

I'm so dumb.