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Mathematics 22 Online
OpenStudy (lsdxmdmaddicthc):

What is the area of the regular octagon below?

OpenStudy (lsdxmdmaddicthc):

OpenStudy (lsdxmdmaddicthc):

@sleepyjess

OpenStudy (anonymous):

about 229.102597104441

OpenStudy (sleepyjess):

@skyloft0629 could you please explain how you got to that? Direct answers are against the Code of Conduct :)

OpenStudy (sleepyjess):

Or we can work it out together @lsDxMdmaddicThc :)

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

im a newb

OpenStudy (sleepyjess):

I see :) Welcome to OpenStudy!

OpenStudy (anonymous):

i multiplied the the 2 radius and the sine of the angle and multiplied that by 8 then divided by 2

OpenStudy (sleepyjess):

My approach would be to find the apothem using \(apothem = r cos(\dfrac{180}n)\) then find side/2 using the pythagorean theorem, then multiply side/2 by 2 to get the side, then use the area formula

OpenStudy (lsdxmdmaddicthc):

I would like to work it out together

OpenStudy (sleepyjess):

Okay, so the formula I gave was to find the apothem, |dw:1428552143565:dw| given the radius

OpenStudy (lsdxmdmaddicthc):

What is the n in the equation?

OpenStudy (sleepyjess):

I'm not the best at drawing, so bear with me :)

OpenStudy (sleepyjess):

n is the number of sides

OpenStudy (lsdxmdmaddicthc):

Okay so Apothem = 8.31m

OpenStudy (sleepyjess):

Yep, now we can find side/2 using the Pythagorean Theorem

OpenStudy (lsdxmdmaddicthc):

A(sq) + B(sq) = C(sq)?

OpenStudy (sleepyjess):

|dw:1428552420977:dw|

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