If an n-sided regular polygon is inscribed in a circle of radius r, as shown in the figure below, tl n-isosceles triangles fill the circle. Circle b. -Inscribed polygon Based on the statement and figure above answer the following: 1. Express hand the base b of the isosceles triangle shown in terms of e and r. 2. Express the area of the isosceles triangle in terms of e and r. Use trig identities as needed. 3. Describe what happens as n goes to infinity, (notice the polygon fills the circle, the angle e goes t zero)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter39: Symbolism And Algebraic Expressions
Section: Chapter Questions
Problem 18A: Given: In Figure 39-12, s is the length of a side of a hexagon, r isthe radius of the inside circle,...
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An n-sided regular polygon is inscribed in a circle of radius r, then an n-isosceles triangle fills the circle.

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