ΒΆ 2002 AMC 10A Problem 19
Problem:
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?
Answer Choices:
A.
B.
C.
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E.
Solution:
Spot can go anywhere in a sector of radius two yards and can cover a sector of radius one yard around each of the adjoining corners. The total area is
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions