2021 AMC 10B Problems/Problem 7
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Contents
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, which is
~ samrocksnature
Video Solution by OmegaLearn (Area of Circles and Logic)
~ pi_is_3.14
Video Solution by TheBeautyofMath
https://youtu.be/GYpAm8v1h-U?t=206
~IceMatrix
Video Solution by Interstigation
https://youtu.be/DvpN56Ob6Zw?t=555
~Interstigation
2021 AMC 10B (Problems • Answer Key • Resources) | ||
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Followed by Problem 8 | |
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