A regular n-gon is inscribed in the unit circle.
What is the perimeter for each n below?
a.3
b.5
c.6
d.10
e.57
f.542
g. n
h. The perimeter in part f should be close to what
number? How close is it?

Question

A regular n-gon is inscribed in the unit circle.  
What is the perimeter for each n below?
a.3
b.5
c.6
d.10
e.57
f.542
g. n
h. The perimeter in part f should be close to what 
number?  How close is it?

anonymous · Answer

Aye, mate.  I may be of some assistance.  But first, I need a favor from ye.  Tell me when the observatory is.

metalslayer · Answer

What observatory?

metalslayer · Answer

I really need help on this

geerky42 · Answer

Do you know Trigonometry? Or at least Law of Cosines?

geerky42 · Answer

If so, this site may helps: http://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/lindsay2.html

metalslayer · Answer

I've been on that website. I just don't get it. Can you please just solve for A and show the steps so I could do the rest? Thanks.

metalslayer · Answer

I do know trig and law of cosines and sines

geerky42 · Answer

What A?

metalslayer · Answer

a.3
b.5
c.6
d.10
e.57
f.542
g. n
h. The perimeter in part f should be close to what 
number?  How close is it?

metalslayer · Answer

Please show me how to answer some of them with the steps. Thank You.

metalslayer · Answer

By A i meant n=3

geerky42 · Answer

From site, our equation would be $P = nc = n\sqrt{2-2\cos\left(\dfrac{360^\text o}{n}\right)}$

geerky42 · Answer

Do you understand how this equation was derived?

metalslayer · Answer

P is perimeter, n is the n-gon, what is c?

geerky42 · Answer

c is side.

metalslayer · Answer

How do I find the side? I am only given the n.

geerky42 · Answer

You can use law of cosines to find the length of sides:|dw:1436579931950:dw|