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.

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