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2004 AMC 8 Question 25

AMC8 · 2004 AMC 8

Question 25

Two $4 \times 4$ squares intersect at right angles, bisecting their intersecting sides, as shown. The circle’s diameter is the segment between the two points of intersection. What is the area of the shaded region created by removing the circle from the squares?

Question illustration
  1. $16-4\pi$
  2. $16-2\pi$
  3. $28-4\pi$
  4. $28-2\pi$
  5. $32-2\pi$