Difference between revisions of "2021 AMC 10B Problems/Problem 7"
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Revision as of 02:55, 12 February 2021
Problem
In a plane, four circles with radii and
are tangent to line
at the same point
but they may be on either side of
. Region
consists of all the points that lie inside exactly one of the four circles. What is the maximum possible area of region
?
Solution
After a bit of wishful thinking and inspection, we find that the above configuration maximizes our area.
~ samrocksnature
Video Solution by OmegaLearn (Area of Circles and Logic)
~ pi_is_3.14
2021 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 6 |
Followed by Problem 8 | |
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All AMC 10 Problems and Solutions |