2017 AMC 8 Problems/Problem 25
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Problem 25
In the figure shown, and
are line segments each of length 2, and
. Arcs
and
are each one-sixth of a circle with radius 2. What is the area of the region shown?
Solution
Extend into an equilateral triangle with area 4sqrt3 by the area formula. We must subtract off the two 1/3-circles, which have radius 2, so there area is 4pi/3. So it's 4sqrt-4pi/3, or B.
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
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