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What is the mean distance between two random points in an annulus?

I have found the formula for two random points in a circle here but not an annulus.

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    Welcome to [math.se] SE. Take a [tour]. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an [edit]): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance. – Another User Jan 24 '23 at 19:18
  • What are your thoughts? What have you tried? Where are you stuck? You might start by defining some parameters and variables and writing down some formulas ... – Robert Israel Jan 24 '23 at 20:05

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