2002 AMC 10A Problems/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 of the doghouse that Spot can reach?
Solution
Part of what Spot can reach is of a circle with radius 2, which gives him . He can also reach two parts of a unit circle, which combines to give . The total area is then , which gives .
See Also
2002 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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