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1987 AMC 8 Question 22

AMC8 · 1987 AMC 8

Question 22

$ABCD$ is a rectangle, $D$ is the center of the circle, and $B$ is on the circle. If $AD = 4$ and $CD = 3,$ then the area of the shaded region is between which two values?

Question illustration
  1. $4$ and $5$
  2. $5$ and $6$
  3. $6$ and $7$
  4. $7$ and $8$
  5. $8$ and $9$