Assignment: Area of Circles Investigation Part I: Polygons and Circles a. Help Dakota with her homework. Use diagrams of inscribed polygons to approximate the area of each circle. Assume that all of the circles have a radius of 1. Inscribed Polygon Base and Height of each Triangle Area of Inscribed Polygon b = 1.73 and h = 0.5 b = 1 and h = 0.87 b = 0.77 and h = 0.92 b = 0.52 and h = 0.97 Incorporate at least two module vocabulary words in your responses to Parts II and III. Part II: Observation a. What do you notice about the area of the polygons as the number of sides increase? b. How does the area of the polygons compare to π? c. If you were to continue to increase the number of sides on the polygon inscribed in the circle, what would you expect? Part III: Extend Your Thinking Using the results of your observation, how can you calculate the area of the circle if you know the circle’s circumference? Show all work to support your thinking.