Discussion prompt:

If an n-sided regular polygon is inscribed in a circle of radiusr,asshown in the figure below, then n-isosceles triangles fill the circle.

Based on the statement and figure above answer the following:

1.Expresshand the basebof the isosceles triangle shown in terms of andr.

2.Express the area of the isosceles triangle in terms of andr. Use trig identities as needed.

3.Describe what happens asngoes to infinity, (notice the polygon fills the circle, the angle goes to zero)

4.Use special limit rules to discuss your response, you may use any graphing tool to support your response