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1967 AMC 12 Question 3

AMC12 · 1967 AMC 12

Question 3

The side of an equilateral triangle is $s.$ A circle is inscribed in the triangle and a square is inscribed in the circle. The area of the square is:
  1. $\dfrac{s^2}{24}$
  2. $\dfrac{s^2}{6}$
  3. $\dfrac{s^2\sqrt2}{6}$
  4. $\dfrac{s^2\sqrt3}{6}$
  5. $\dfrac{s^2}{3}$