Posted by 3.1415926... on .
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.)
Can you tell what the answer is? I want a clear explanation too. Thanks!!!!!!

MATH 
Steve,
the small circles intersect in lensshaped areas of pi/2  1
each small circle has area pi
The large circle has area 4pi
The points in the lenses and the large circle outside the small circles lie in 1 or 3 circles.
4pi  4(pi) + 4(pi/21) = 2pi4 
MATH 
mathemagiacian,
That is not right.

MATH 
Steve,
So, if it's not right, maybe you could let us know where we went wrong. The idea is to help here, you know.

MATH 
Anonymous,
the answer is 4pi8 . FOR SURE!!

MATH 
Anonymous,
it is 4pi8