A stop sign is a regular octagon. This stop sign has a height of 30 inches and each side is 12.43 inches. The area of a 30-inch sign is ____ in^2 to the nearest square inch.

Question

directrix · Answer

Here is that same problem previously worked on OpenStudy. Take a look although for understanding, I think it's best to start from scratch here. See what you think: http://openstudy.com/study#/updates/511c3594e4b06821731b0e35

directrix · Answer

@swanson_kaitlin   What do you think we should do?

anonymous · Answer

It's still kind of confusing to me, do we split the octagon into simpler shapes and then add the areas, or is there a way to find the area of an octagon?

directrix · Answer

We'll use Area = 1/2 times apothem times perimeter. A stop sign is a regular octagon so the formulas from yesterday apply.

Question: Do you know right triangle trig ratios - sine, cosine, that sort of thing?

directrix · Answer

@swanson_kaitlin  Waiting on a reply. :)

anonymous · Answer

I don't. :o

directrix · Answer

I'll get a diagram. Just a sec.

directrix · Answer

Your task is to do the multiplication:

(1/2) times (15) times (12.43) times 8 = ?

Let me know what you get.

directrix · Answer

I'm ready to compare answers when you are. No rush.

anonymous · Answer

I got 745.8?

directrix · Answer

That is what I got. Is it an option?

anonymous · Answer

It's just a fill in the blank question, no multiple choice options. That makes sense though so I'll try it. Thank you!