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AMC10 2027 - Self-practice Set 3 Question 20

AMC10 · AMC10 2027 - Self-practice Set 3

Question 20

A dartboard is a regular octagon divided into regions as shown. A dart is equally likely to land anywhere on the board. What is the probability that it lands in the central square?

{{asset:c 2-example-10-diagram}}
  1. $\frac{\sqrt2-1}{2}$
  2. $\frac14$
  3. $\frac{2-\sqrt2}{2}$
  4. $\frac{\sqrt2}{4}$
  5. $2-\sqrt2$