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2023 AMC 10B Question 20

AMC10 · 2023 AMC 10B

Question 20

Four congruent semicircles are drawn on the surface of a sphere with radius $2,$ as shown, creating a closed curve that divides the surface into two congruent regions. The length of the curve is $\pi\sqrt{n}.$ What is $n?$

Question illustration
  1. $32$
  2. $12$
  3. $48$
  4. $36$
  5. $27$