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2011 AMC 12B Question 12

AMC12 · 2011 AMC 12B

Question 12

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. $2-\sqrt{2}$