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AMC8 2027 - Self-practice Set 6 Question 10

AMC8 · AMC8 2027 - Self-practice Set 6

Question 10

Rectangle $ABCD$ has $CD=3$ cm and $DA=5$ cm. Draw circles centered at $A$, $B$, and $C$ with radii $1$, $2$, and $3$ cm, respectively. Which value is closest to the area inside the rectangle but outside all three circles?
Question illustration
  1. 3.5
  2. 4
  3. 4.5
  4. 5
  5. 5.5