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metalslayer
 one year ago
A regular ngon 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?
metalslayer
 one year ago
A regular ngon 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?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Aye, mate. I may be of some assistance. But first, I need a favor from ye. Tell me when the observatory is.

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0I really need help on this

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Do you know Trigonometry? Or at least Law of Cosines?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2If so, this site may helps: http://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/lindsay2.html

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0I'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
 one year ago
Best ResponseYou've already chosen the best response.0I do know trig and law of cosines and sines

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0a.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
 one year ago
Best ResponseYou've already chosen the best response.0Please show me how to answer some of them with the steps. Thank You.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2From site, our equation would be \(P = nc = n\sqrt{22\cos\left(\dfrac{360^\text o}{n}\right)}\)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Do you understand how this equation was derived?

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0P is perimeter, n is the ngon, what is c?

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0How do I find the side? I am only given the n.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2You can use law of cosines to find the length of sides:dw:1436579931950:dw

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2ngon is inscribed in unit circle, which has radius of 1.

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0So lets try to solve a.) n=3. I will plug in n into 360/n so it will equal 120 degrees. Then I have no idea lol.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Yes, Plugging in n=3, you would have \(P = 3\sqrt{22\cos\left(120^\text o\right)}\)

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2You can just use calculator.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Yeah I got approximately that.

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0So first I divide 360 by n, and then plug it into the formula?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Actually, you just plug in whether value of n, then calculate.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2For case of n=3, you just plug in n=3 and calculate \(P = 3\sqrt{22\cos\left(\dfrac{360^\text o}{3}\right)}\)

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0Oh I see. Thank you. What about if n = 542?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Same. Plug in n=542 then calculate \(P = \textbf{542}\sqrt{22\cos\left(\dfrac{360^\text o}{\textbf{542}}\right)}\)

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0Great, thanks. And lastly could you please explain part h.

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0h. The perimeter in part f should be close to what number? How close is it?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Well, imagine if n goes to infinity, what would ngon become into?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Right. Saying we have case of \(n=\infty\). How can we find perimeter?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Or should I say "circumference"?

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0\[\pi radius squared\]

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2That's area of circle. We want circumference.

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0so what is the radius?

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Yeah. Here, we have UNIT circle, so radius is 1. So part f should be close to \(2\pi\)

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0So that's my answer? Thank You. You are so helpful.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2Yeah. Though I am not sure how to answer "How close is it?" I guess subtract part f from \(2\pi\).

geerky42
 one year ago
Best ResponseYou've already chosen the best response.2But I think you did your job good enough lol...

metalslayer
 one year ago
Best ResponseYou've already chosen the best response.0Thank you. This helped me so much.
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