A circular field is set into a square with an 800 m side length. Estimate the field's area.[br][br][img]data:image/png;base64,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[/img]
[list=1][*]The top circle is separated into fourths. Arrange the fourths so that straight sides are next to each other, but the curved edges are alternately on top and on bottom. Pause here so your teacher can review your work.[br][/*][*]The bottom circle is separated into eighths. Arrange the eighths next to each other, like you did with the fourths.[/*][/list][br]How do the areas of the two shapes compare?
What polygon does the shape made of the circle pieces most resemble?
How could you find the area of this polygon?
Imagine a circle made of rings that can bend but not stretch.[br][br][img]data:image/png;base64,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[/img][br][br]Watch the animation below. What polygon does the new shape resemble?
How does the area of the polygon in the app above compare to the area of the circle?
How can you find the area of the polygon?
State, in detailed steps, how you could find the polygon’s area in terms of the circle’s measurements. Show your thinking. Organize it so it can be followed by others.
After you finish, trade papers with a partner and check each other’s work. If you disagree, work to reach an agreement. Discuss:[br][list][*]Do you agree or disagree with each step?[br][/*][*]Is there a way they can make the explanation clearer?[/*][/list][br]Return your partner’s work, and revise your explanation based on the feedback you received.
Elena wants to tile the top of a circular table. The diameter of the table top is 28 inches. What is its area?
A box contains 20 square tiles that are 2 inches on each side. How many boxes of tiles will Elena need to tile the table?