How do you effectively create a radial symmetrical pattern

I create a new logo, and I want to do based on the Ubuntu logo. http://www.tuxemon.org/images/Ubuntu.PNG

Other than the three circles, the logo is a ring into three equal parts. I guess that each of these pieces have the same size. How to split a round object so that each piece is equal around the shape. I know how to create a circle and divide them, but I don't know how do to size equal. I can understand with objects straight because I have to work with the leaders, but I don't know how to do with circular objects. Is there a quick way to do it? I use Illustrator CS6.

Here is a step by step video showing another approach. Many solutions.

Tags: Illustrator

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