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2011 AMC 10B Problem 16

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2011 AMC 10B Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Geometric Probability · difficulty 3 of 5 · about 4 min · position P16-20

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?
figure

  1. A)

    2−12\frac{\sqrt{2} - 1}{2}

  2. B)

    14\frac{1}{4}

  3. C)

    2−22\frac{2 - \sqrt{2}}{2}

  4. D)

    24\frac{\sqrt{2}}{4}

  5. E)

    2−22 - \sqrt{2}

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