Thinking in (Semi-)Circles: The Area of the Arbelos

[scienceman213]

I had trouble finding a good variable for this project, i thought that i could test if the area of the circle from point C to point D on different sized Arbelos. I wanted to prove that the area of the circle is the same area as the Arbelos. I didnt know how to change the sizes of the Arbelos. If you have any ideas for a different way of experimenting with Arbelos, or how to help me with how to change the sizes of them please contact me ASAP. Thanks

[Goldenzenith]

Hello, scienceman213!

Pretty nifty topic! In order to help you better, though, could you clarify what you mean by the area of the circle from pt. C to pt. D? It is a bit hard to follow without a diagram of some sort, so if you could attach that, great!

As for changing the sizes of the Arbelos, I'm assuming that you are requesting a computer program or a simulation of some sort. Luckily, there is something here: http://demonstrations.wolfram.com/Archi ... AnArbelos/ and here: http://demonstrations.wolfram.com/Tange ... ndArbelos/.

Hope that helped! Don't hesitate to write back if you have any more questions!