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Four circles of unit radius are drawn with centers \((0, 1)\)\((0, 1)\)\((-1, 0)\), and \((0, -1)\). A circle with radius \(2\) is drawn with the origin as its center. What is the area of all points that are contained in an odd number of these \(5\) circles? (Express your answer in the form "a pi + b" or "a pi - b", where a and b are integers.)

 

Thank you!

 Feb 3, 2021
 #1
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The area is 3*pi - 1.

 Feb 3, 2021

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