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AMC10 2027 - Self-practice Set 3 Question 4

AMC10 · AMC10 2027 - Self-practice Set 3

Question 4

Two points are chosen independently and uniformly on a circle of radius $r\gt 0$. What is the probability that their distance is at most $r$?
  1. $\frac16$
  2. $\frac15$
  3. $\frac14$
  4. $\frac13$
  5. $\frac12$