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AMO 2021 - Secondary 3 (Grade 9) Question 7

AMO · AMO 2021 - Secondary 3 (Grade 9)

Question 7

A dart lands uniformly at random inside the larger circle $C_2$, whose diameter is 9 inches. The concentric shaded circle $C_1$ has diameter 3 inches. What is the probability of landing in $C_1$?

Question illustration
  1. $1/3$
  2. $1/4$
  3. $1/6$
  4. $1/9$
  5. $1/\pi^2$