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2010 AMC 10B Question 16

AMC10 · 2010 AMC 10B

Question 16

A square of side length $1$ and a circle of radius $\dfrac{\sqrt{3}}{3}$ share the same center. What is the area inside the circle, but outside the square?
  1. $\dfrac{\pi}{3}-1$
  2. $\dfrac{2\pi}{9}-\dfrac{\sqrt{3}}{3}$
  3. $\dfrac{\pi}{18}$
  4. $\dfrac{1}{4}$
  5. $\dfrac{2\pi}{9}$