00:01
So for this problem, we're thinking about the fact that our unit circle is made up of some amount of wedges.
00:07
And each of those wedges are going to be, or we're going to have a number n wedges.
00:14
And so we are also told that the inside of our unit circle can be made up of a triangle with a base of one and a height of a sign of 2x0 over n.
00:24
And so essentially we are just going to be able to set up a formula for the area of our unit circle.
00:30
Our triangle.
00:33
So the area of our triangles is going to be one half times our base, which is one, times our height, which is the sign of 2 pi over n.
00:45
And so we know that if we are going to approximate the area of our unicycle, we want to have as many different inner triangles as possible or inner wedges.
00:57
So that means that we are going to have n inner wedges.
01:00
So we're just going to multiply our area by n and we can do the same thing for our outer triangle.
01:07
Our outer triangle is again one half base times height.
01:10
So this time we have one half times our base which is the cosine of pi over n plus the sign of pi over n times a tangent of pi over n and our height is also multiplied by this base so we're just going to square this term and multiply it by the sign of 2 pi over n...