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2011 AMC 10B Question 16

AMC10 · 2011 AMC 10B

Question 16

A dart board is a regular octagon divided into regions as shown. Suppose that a dart thrown at the board is equally likely to land anywhere on the board. What is the probability that the dart lands within the center square?

Question illustration
  1. $\dfrac{\sqrt{2} - 1}{2} $
  2. $\dfrac{1}{4} $
  3. $\dfrac{2 - \sqrt{2}}{2} $
  4. $\dfrac{\sqrt{2}}{4} $
  5. $2 - \sqrt{2}$