2016 AMC 12B Problems/Problem 18
Problem
What is the area of the region enclosed by the graph of the equation
Solution
Consider the case when ,
.
Notice the circle intersects the axes at points
and
. Find the area of this circle in the first quadrant. The area is made of a semi-circle with radius of
and a triangle:
Because of symmetry, the area is the same in all four quadrants. The answer is
See Also
2016 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 17 |
Followed by Problem 19 |
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All AMC 12 Problems and Solutions |
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