Difference between revisions of "2021 AMC 10B Problems/Problem 7"
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label("$l$",(-9,0),S); | label("$l$",(-9,0),S); | ||
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− | After a bit of wishful thinking and inspection, we find that the above configuration maximizes our area | + | After a bit of wishful thinking and inspection, we find that the above configuration maximizes our area, which is <math>49 \pi + (25-9) \pi=65 \pi \rightarrow \boxed{\textbf{(D)}}</math> |
+ | ~ samrocksnature | ||
== Video Solution by OmegaLearn (Area of Circles and Logic) == | == Video Solution by OmegaLearn (Area of Circles and Logic) == |
Revision as of 20:51, 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, which is
~ 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 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |