
Circle Area Formula (TPU Flexible Filament), Angle Maker, PI
thingiverse
Making Sense of the Circle Area Formula (TPU Flexible Filament) Update: At the suggestion of some users, I added a 12-piece dissection of the circle, where each wedge is 30 degrees. It's now possible to make 30, 60, 90-degree angles. Circles are the most universal shapes in nature, design, and school mathematics across P-12 and beyond! Frequently, we have students who say π (PI) is 3.14 and the area of a circle is πR^2, struggling to explain why? In this unit, we'll learn about the true meaning of π (PI) and make sense of the circle area formula in a playful and artistic way. The circle included has a diameter of 100 mm and is 4mm thick. Flexible filament is preferred for classroom use. There's a small cut that allows the circle to unfold. When PLA filament is used, the wedges will break apart. They can still be used but are not as pretty. How to Use 1. If you print two copies, you could make a long parallelogram. 2. If you print only one copy, please cut it into two semicircles and make a shorter parallelogram. 3. The reasoning is the same. Just adjust the base part. 4. Please read on for possible activities and questions. 5. Of course, a little "thought experiment" is necessary to flatten the base of the parallelogram ^_^. 6. If so desired, the wedges can be used to make/model angles.
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