Let P(n) be the perimeter of an n-gon inscribed in a unit circle (Figure 7). (a) Explain,
Question:
Let P(n) be the perimeter of an n-gon inscribed in a unit circle (Figure 7).
(a) Explain, intuitively, why P(n) approaches 2π as n→ ∞.
(b) Show that P(n) = 2n sin (π).
(c) Combine (a) and (b) to conclude that 
(d) Use this to give another argument that 
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a As n the ngon approaches a circle of radius 1 Therefore the perimeter of the ngon approaches the c...View the full answer
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