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!
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
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
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