Posted by 3.1415926... on Saturday, August 3, 2013 at 5:41pm.
Four circles of unit radius are drawn with centers (1,0), (1,0), (0,1), and (0,1). A circle with radius 2 is drawn with the origin as its center. What is the area of all points which 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.)
I want a clear explanation with the answer. Thanks!

Math Geometry  Steve, Saturday, August 3, 2013 at 5:54pm
Each small circle has area pi
The intersections each have area pi/2  1, so the 4 areas of intersection have area 2pi4
The large circle has area 4pi.
The points outside all the small circles lie only in the big circle.
the points in each of the intersections lie in 2 small circles and the big circle.
So, now you know which areas to add up.
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