IM 7.3.8 Lesson: Relating Area to Circumference
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]
Here are two circles. Use the points to move the pieces and use the open circles to rotate them.
[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?
IM 7.3.8 Practice: Relating Area to Circumference
The picture shows a circle divided into 8 equal wedges which are rearranged.[br][br][img]data:image/png;base64,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[/img][br][br]The radius of the circle is [math]r[/math] and its circumference is [math]2\pi r[/math]. How does the picture help to explain why the area of the circle is [math]\pi r^2[/math]?
A circle’s circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle.
Jada paints a circular table that has a diameter of 37 inches. What is the area of the table?
[size=150]The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.[/size][br][br]In one rotation of the carousel, how much farther does Mai travel than Kiran?
One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran?
Here are the diameters of four coins:
A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?
A quarter makes 8 rotations. How far did it roll?
A dime rolls 41.8 cm. How many rotations did it make?[br]