If an n-sided regular polygon is inscribed in a circle of radius r, as shown in the figure below, then n-isosceles triangles fill the circle.    Based on the statement and figure above answer the following:   Express h and the base b of the isosceles triangle shown in terms of θ and r.   Express the area of the isosceles triangle in terms of θ and r. Use trig identities as needed.   Describe what happens as n goes to infinity, (notice the polygon fills the circle, the angle θ goes to zero)   Use special limit rules to discuss your response, you may use any graphing tool to support your response.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If an n-sided regular polygon is inscribed in a circle of radius r, as shown in the figure below, then n-isosceles triangles fill the circle. 

 

Based on the statement and figure above answer the following:

  1.   Express h and the base b of the isosceles triangle shown in terms of θ and r.
  2.   Express the area of the isosceles triangle in terms of θ and r. Use trig identities as needed.
  3.   Describe what happens as n goes to infinity, (notice the polygon fills the circle, the angle θ goes to zero)
  4.   Use special limit rules to discuss your response, you may use any graphing tool to support your response.
Circde
Inscribed polygon
Transcribed Image Text:Circde Inscribed polygon
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 Use special limit rules to discuss your response, you may use any graphing tool to support your response.

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