2021 AMC 10B Problems/Problem 7
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