Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Based on the statement and figure above answer the following:

1.    Express and the base 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 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.

Discussion prompt:
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.
Circle
Inscribed polygon
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 0 and r.
2. Express the area of the isosceles triangle in terms of 0 and r. Use trig identities as needed.
3. Describe what happens as n goes to infinity, (notice the polygon fills the circle, the angle 0 goes to zero)
4. Use special limit rules to discuss your response, you may use any graphing tool to support your response.
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Transcribed Image Text:Discussion prompt: 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. Circle Inscribed polygon 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 0 and r. 2. Express the area of the isosceles triangle in terms of 0 and r. Use trig identities as needed. 3. Describe what happens as n goes to infinity, (notice the polygon fills the circle, the angle 0 goes to zero) 4. Use special limit rules to discuss your response, you may use any graphing tool to support your response.
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