Program for presenting geometry visually

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So, I want a program that can be used to visually demonstrate why something works, this is vague so I will give an example of one of the features that would be great to have:

Let's say I have two circles, circle A and B, B is 3.5 times bigger than A. The two circles

I would like to constrain the distance between the center points of the two circles so they are always the same distance apart, so I can have the circle roll around the other one, and rotate as it would if rolling a dime around a quarter.

If there is any program that is capable of this it would be great :3

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What EnjoysMath said. Geogebra is free, open source, and intuitive.

www.geogebra.com