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2002 AMC 10A Question 19

AMC10 · 2002 AMC 10A

Question 19

Spot’s doghouse has a regular hexagonal base that measures one yard on each side. He is tethered to a vertex with a two-yard rope. What is the area, in square yards, of the region outside the doghouse that Spot can reach?
  1. $\dfrac{2}{3}\pi$
  2. $2\pi$
  3. $\dfrac{5}{2}\pi$
  4. $\dfrac{8}{3}\pi$
  5. $3\pi$