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I have a math problem which I am stuck on: The largest circle possible is inscribed within a octagon. If the area of the circle is 500 cm^2, what is the area of the octagon? I would prefer that I don't get the direct answer, but rather how to solve it, because I seem to be doing it wrong. Thanks!

 Jan 21, 2016

Best Answer 

 #5
avatar+129847 
+5

Thanks, Hayley.....!!!

 

I'll go through my method of solving this....

 

First......find the radius of the circle 

 

500  = pi*r^2

 

500/pi = r^2

 

r = sqrt(500/pi)

 

Now....we have have 8 triangles, and the area of each is given by :

 

500pi / [2sqrt(2)]    (1)

 

Multiply  (1)  by 8   and you have your answer

 

 

 

cool cool cool

 Jan 21, 2016
 #1
avatar+8581 
+5

Heres the formula :)

https://www.google.com/webhp?sourceid=chrome-instant&ion=1&espv=2&ie=UTF-8&safe=active&ssui=on#q=area%20of%20an%20octagon&safe=active&ssui=on

 Jan 21, 2016
 #2
avatar+8581 
0

Please let me know if I helped you or not

 Jan 21, 2016
 #3
avatar
0

Yeah, it helped. Thank you!

 Jan 21, 2016
 #4
avatar+8581 
+5

You're welcome! Happy to help :)

 Jan 21, 2016
 #5
avatar+129847 
+5
Best Answer

Thanks, Hayley.....!!!

 

I'll go through my method of solving this....

 

First......find the radius of the circle 

 

500  = pi*r^2

 

500/pi = r^2

 

r = sqrt(500/pi)

 

Now....we have have 8 triangles, and the area of each is given by :

 

500pi / [2sqrt(2)]    (1)

 

Multiply  (1)  by 8   and you have your answer

 

 

 

cool cool cool

CPhill Jan 21, 2016
 #6
avatar+8581 
0

Oh! That makes sense !

 Jan 21, 2016

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