Drawing an arc of a circle based on an angle

Does anyone know if this is possible? I would like to be able to specify an angle and starting at (0,0) draw a circle of a particular radius and arc length.

I’m trying to create an activity that shows a circle unraveling to form a straight line.

You want to be able to animate something like this, correct?

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Is this a basic version of what you are thinking?

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That is beautiful, thank you!

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How would the center of the circle be changed?