What is the largest area for a octogon (mirroring symmetry in angels 1/4pi radians, 1/2pi radians, 3/4pi radians. pi, 5/4 pi and so on) inside a unit circle (a circle with radius 1)
This problem got to do with trigonometry and calculus. If you don't know any of these you can't solve this puzzle (maybe you can but I have no clue how you would do it )
Comments (15)
A regular octagon? I've never had calculus, so hm... Here's how I would do it:
Several errors were made throughout including using the wrong angle as angle C in an area equation, but I did find and fix my errors to get to my answer:
Correct! Interesting way to work it out!
Reply to: maths_geek
Haha, I posted it once before, but then I realized the error on the area equation.
Reply to: maths_geek
That one box at the bottom of the first page would've worked. I just looked up the formula again and I forgot to multiply the answer I recieved from it by 1/2, which would've given the answer to the problem.
Your picture shows an octogon. Do you perhaps want the area of a regular octogon inscribed in a circle?
Reply to: maths_geek
Heh, an octogon is much more difficult than a hexagon. One would need sin(pi/8). But once you have that, all you have to do is split the octogon into 8 triangles.
Reply to: Kaynex
An octogon is actually easier since it's easier with symmetry and stuff
Reply to: maths_geek
Really? Perhaps you have a different method in mind than I do. I'll have to think about this one.