Draw a circle passing through A & B tangent to CD.   

Let 

 r be the radius 

 h the distance from the center O of the circle to the line AB

 M the midpoint of line AB



Then:

   (1)

and

  (2)    (from the triangle OAM)





Substitute (1) into (2) to eliminate h:





This simplifies to  r=5.2cm,  so the circle has an area of  approximately 







 

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