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Mathematics 18 Online
OpenStudy (anonymous):

find the area . A regular octagon with radius 20 inches .

OpenStudy (anonymous):

It's approximately 1931.37 square inches.

OpenStudy (anonymous):

How ?

OpenStudy (anonymous):

I'll be honest, I googled it. But the formula is here A=2(1+2)a2

OpenStudy (anonymous):

Thats what i usually do . the formula is area = apothem * perimeter.. or 1/2 * bc(sin A) Which basically means bc is the side numbers times sin( angle degree) divided by 2

OpenStudy (anonymous):

I'd just guess to plug in the data. I'm not exactly sure what an apothem is, unfortunately

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

Oh its algebra 2

OpenStudy (anonymous):

Ah, here we go, an apothem is just the radius of the in-circle of a polygon. Which can be found using the length of a regular polygon and this equation

OpenStudy (anonymous):

\[apothem = s/(2\tan(180/n))\] S is the length of any of the sides, while N is the number of sides

OpenStudy (anonymous):

i dont even know the length of the side, i have my notes from class with me they just dont help .

OpenStudy (anonymous):

so that should be 20/2tan(180/8)

OpenStudy (anonymous):

ah oh crab, the radius is 20, not the side, my bad

OpenStudy (anonymous):

well there's a neato octagon calculator here, but I can't really take the time to teach myself this lil branch of algebra at the moment, I'm really sorry lass http://rechneronline.de/pi/octagon.php

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