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1996 AMC 12 Question 11

AMC12 · 1996 AMC 12

Question 11

Given a circle of radius $2,$ there are many line segments of length $2$ that are tangent to the circle at their midpoints. Find the area of the region consisting of all such line segments.
  1. $\frac{\pi}{4}$
  2. $4-\pi$
  3. $\frac{\pi}{2}$
  4. $\pi$
  5. $2\pi$