1 Peer review [reviewer #82274] added 30th August, 2006 at 23:34:31

Once again - incomplete sentence fragments, poor quality presentation, awful layout.

Originality: **4**, Importance: **1**, Overall quality: **1**

2 Peer review [reviewer #31786] added 2nd October, 2006 at 16:34:53

Apart from issues on presentation quality, this Observation is fairly trivial. In fact, it can be extended to arbitrary numbers a ~ N sin(a/N).

Originality: **2**, Importance: **2**, Overall quality: **2**

3 Peer review [reviewer #10906] added 3rd October, 2006 at 03:42:31

Sorry, this isn’t very impressive. I hope that most of my Calculus 2 students could do this. So is it a popularization? I don’t know; it’s not very clear. Keep trying, possibly in an area of Mathematics that hasn’t been so thoroughly worked?

Originality: **2**, Importance: **1**, Overall quality: **1**

4 added 3rd October, 2006 at 03:48:48

Actually, the beauty of this approximation is that an irrational number is obtained, from a trigonometrical function, and rational numbers.

Of course, one may notice that 180 degrees is actually Pi radians, so it may seem trivial. But I would like to think that this is a legitimate approximation to Pi, that is much shorter than other approximations.

5 Additional peer comment [reviewer #31786] added 3rd October, 2006 at 05:03:34

It is actually erroneous to call this an approximation to pi at all, because you need the exact value of pi to do the conversion of 180 degrees to radians.