Probability of circle inside square We pick a uniformly chosen random point on a unit square (a square with unit side length) and draw a circle of radius 2/22 around the point. Find the probability that the circle lies entirely inside the square.
For this question I said the answer was (20/22)^2 because you can pick an points inside of a (20/22) by (20/22) area, but this was incorrect. any suggestions on where I went wrong?

Is someone randomly downvoting reasonable probability questions?  This seems fine to me.
These fractions are weird, but that doesn't matter.  I think what you need to do is draw the situation out, and you'll see your mistake: Your basic approach is right, but you must have missed that there is a forbidden zone of $1/11$ all the way around the square.  In particular, that means that the width of the permitted square is not $10/11$, but $9/11$.
Square that and you get your answer.
ETA: I'm upvoting your question to compensate.
