A regular polygon of n sides is inscribed in a circle of unit diameter Show that its perimeter p n is given by Using the series expansion for sine, prove that Given p 12 3 1058 and p 24 3 1326, use this result to obtain a better estimate of I Pn nsin n...

Pn sin 71 n Pn n and P2n 1 3 n 1 T ...

A regular polygon of n sides is inscribed in a circle of unit diameter. Show that its

Question:

A regular polygon of n sides is inscribed in a circle of unit diameter. Show that its perimeter p_n is given by

I Pn=nsin- n

Using the series expansion for sine, prove that

= Pn+ and deduce that 1 3! n S 1 5! n 1 = -(4P2n - Pn) +- 3 1 5 1 4 5! n +...

Given p₁₂ = 3.1058 and p₂₄ = 3.1326, use this result to obtain a better estimate of π.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 13, 2024 09:04 AM

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A regular polygon of n sides is inscribed in a circle of unit diameter. Show that its

Question:

I Pn=nsin- n

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Pn sin 71 n Pn n and P2n 1 3 n 1 T ...View the full answer

Modern Engineering Mathematics

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