What we're going to do is break up a circle into little pieces, and then reassemble it into a shape...
-
Upload
barnard-harrison -
Category
Documents
-
view
215 -
download
0
Transcript of What we're going to do is break up a circle into little pieces, and then reassemble it into a shape...
![Page 1: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/1.jpg)
![Page 2: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/2.jpg)
What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for ...
Maybe you're wondering how on earth you can rearrange pieces of a circle.
Well, just watch ... it's easy!
![Page 3: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/3.jpg)
![Page 4: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/4.jpg)
Does this resemble any shape you are familiar with?
![Page 5: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/5.jpg)
Does this resemble any shape you are familiar with?
![Page 6: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/6.jpg)
![Page 7: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/7.jpg)
Does this resemble any shape you are familiar with?
![Page 8: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/8.jpg)
![Page 9: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/9.jpg)
How are the length and width of a rectangle made out of circle parts?
![Page 10: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/10.jpg)
![Page 11: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/11.jpg)
![Page 12: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/12.jpg)
The original circle's outside length was the distance around, or the circumference of the circle:
Half of this distance around r goes on the top of the 'rectangle', and the other half of the circle, also length r, goes on the bottom
![Page 13: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/13.jpg)
In other words, all of the red and blue pieces add up to 2 r, the circumference. The sides are just the radius of each of the pieces, or the radius of the circle, r.So we know the length is *r, and the width is r.
![Page 14: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/14.jpg)
![Page 15: What we're going to do is break up a circle into little pieces, and then reassemble it into a shape that we know the area formula for... Maybe you're.](https://reader035.fdocuments.in/reader035/viewer/2022062423/56649ce45503460f949b1225/html5/thumbnails/15.jpg)