Construct a circle that has five regions of equal area where none of the perimeters of the regions can pass through the center of the circle.
For this problem, I decided to use circular regions. Before I could get started using GSP, I first had to do some calculations. The planning went as follows:
As you can tell these models are not to scale and they are not dynamic. The goal is to create models that are to scale and that are dynamic.
I can use the unit circle to create a geometric picture of:
With the same reasoning, I created lengths that represent the square root of three, four, and five:
In the last step, I constructed the circles using the radii as the square root of 1, 2, 3, 4, and 5. Below is a picture: